{"id":8962,"date":"2024-05-19T20:01:01","date_gmt":"2024-05-19T12:01:01","guid":{"rendered":""},"modified":"2024-05-19T20:01:01","modified_gmt":"2024-05-19T12:01:01","slug":"\u7ebf\u6027\u65b9\u7a0b\u7ec4\uff08\u4e94\uff09- \u7ebf\u6027\u65b9\u7a0b\u7ec4\u7684\u89e3\u96c6","status":"publish","type":"post","link":"https:\/\/mushiming.com\/8962.html","title":{"rendered":"\u7ebf\u6027\u65b9\u7a0b\u7ec4\uff08\u4e94\uff09- \u7ebf\u6027\u65b9\u7a0b\u7ec4\u7684\u89e3\u96c6"},"content":{"rendered":"<p><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"display: none;\"> \n <path stroke-linecap=\"round\" d=\"M5,0 0,2.5 5,5z\" id=\"raphael-marker-block\" style=\"-webkit-tap-highlight-color: rgba(0, 0, 0, 0);\"><\/path> \n<\/svg> <\/p>\n<h3>\u5c0f\u7ed3<\/h3>\n<ol>\n<li>\u9f50\u6b21\u7ebf\u6027\u65b9\u7a0b\u7ec4\u7684\u5b9a\u4e49\u3002<\/li>\n<li>\u89e3\u96c6\u7684\u53c2\u6570\u5411\u91cf\u5f62\u5f0f\u3002<\/li>\n<li>\u975e\u9f50\u6b21\u7ebf\u6027\u65b9\u7a0b\u7ec4\u7684\u89e3\u3002<\/li>\n<\/ol>\n<hr>\n<h3>\u9f50\u6b21\u7ebf\u6027\u65b9\u7a0b\u7ec4<\/h3>\n<p>\u7ebf\u6027\u65b9\u7a0b\u7ec4\u79f0\u4e3a<strong>\u9f50\u6b21\u7684<\/strong>\uff0c\u82e5\u5b83\u53ef\u5199\u6210<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = 0 \\boldsymbol{Ax}=\\boldsymbol{0} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.64444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u5f62\u5f0f\uff0c\u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A \\boldsymbol{A} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> m \u00d7 n m{\\times}n <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.66666em; vertical-align: -0.08333em;\"><\/span><span class=\"mord mathit\">m<\/span><span class=\"mord\"><span class=\"mord\">\u00d7<\/span><\/span><span class=\"mord mathit\">n<\/span><\/span><\/span><\/span><\/span>\u77e9\u9635\u800c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> 0 \\boldsymbol{0} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.64444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> R m \\mathbb{R}^{m} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68889em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbb\">R<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.664392em;\"><span class=\"\" style=\"top: -3.063em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathit mtight\">m<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e2d\u7684\u96f6\u5411\u91cf\u3002\u8fd9\u6837\u7684\u65b9\u7a0b\u7ec4\u81f3\u5c11\u6709\u4e00\u4e2a\u89e3\uff0c\u5373<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x = 0 \\boldsymbol{x}=\\boldsymbol{0} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.64444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff08<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> R n \\mathbb{R}^{n} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68889em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbb\">R<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.664392em;\"><span class=\"\" style=\"top: -3.063em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathit mtight\">n<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e2d\u7684\u96f6\u5411\u91cf\uff09\uff0c\u8fd9\u4e2a\u89e3\u79f0\u4e3a\u5b83\u7684<strong>\u5e73\u51e1\u89e3<\/strong>\u3002\u5bf9\u7ed9\u5b9a\u65b9\u7a0b<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = 0 \\boldsymbol{Ax}=\\boldsymbol{0} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.64444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0c\u91cd\u8981\u7684\u662f\u5b83\u662f\u5426\u6709<strong>\u975e\u5e73\u51e1\u89e3<\/strong>\uff0c\u5373\u6ee1\u8db3<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = 0 \\boldsymbol{Ax}=\\boldsymbol{0} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.64444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u975e\u96f6\u5411\u91cf<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x \\boldsymbol{x} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u9f50\u6b21\u65b9\u7a0b<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = 0 \\boldsymbol{Ax}=\\boldsymbol{0} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.64444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u6709\u975e\u5e73\u51e1\u89e3\u5f53\u4e14\u4ec5\u5f53\u65b9\u7a0b\u81f3\u5c11\u6709\u4e00\u4e2a\u81ea\u7531\u53d8\u91cf\u3002<\/p>\n<p>\u786e\u5b9a\u9f50\u6b21\u65b9\u7a0b\u7ec4<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> { 3 x 1 + 5 x 2 \u2212 4 x 3 = 0 \u2212 3 x 1 \u2212 2 x 2 + 4 x 3 = 0 6 x 1 + x 2 \u2212 8 x 3 = 0 \\begin{cases} 3x_1 + 5x_2 - 4x_3 = 0 \\\\ -3x_1 - 2x_2 + 4x_3 = 0 \\\\ 6x_1 + x_2 - 8x_3 = 0 \\\\ \\end{cases} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 4.32em; vertical-align: -1.91em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.35002em;\"><span class=\"\" style=\"top: -2.19999em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a9<\/span><\/span><\/span><span class=\"\" style=\"top: -2.19999em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23aa<\/span><\/span><\/span><span class=\"\" style=\"top: -3.15001em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a8<\/span><\/span><\/span><span class=\"\" style=\"top: -4.30001em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23aa<\/span><\/span><\/span><span class=\"\" style=\"top: -4.60002em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a7<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.85002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.41em;\"><span class=\"\" style=\"top: -4.41em;\"><span class=\"pstrut\" style=\"height: 3.008em;\"><\/span><span class=\"mord\"><span class=\"mord\">3<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\">5<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\">4<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -2.97em;\"><span class=\"pstrut\" style=\"height: 3.008em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">3<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\">2<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\">4<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.53em;\"><span class=\"pstrut\" style=\"height: 3.008em;\"><\/span><span class=\"mord\"><span class=\"mord\">6<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\">8<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.91em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u5426\u6709\u5e73\u51e1\u89e3\uff0c\u5e76\u63cf\u8ff0\u5b83\u7684\u89e3\u96c6\u3002<br \/> \u89e3\uff1a\u4ee4<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A \\boldsymbol{A} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e3a\u8be5\u65b9\u7a0b\u7ec4\u7684\u7cfb\u6570\u77e9\u9635\uff0c\u7528\u884c\u5316\u7b80\u7b97\u6cd5\u628a\u589e\u5e7f\u77e9\u9635<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> [ A 0 ] \\begin{bmatrix}\\boldsymbol{A} &amp;amp; \\boldsymbol{0} \\end{bmatrix} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.20001em; vertical-align: -0.35001em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em;\"><span class=\"delimsizing size1\">[<\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.85em;\"><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.35em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.85em;\"><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">0<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.35em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em;\"><span class=\"delimsizing size1\">]<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5316\u4e3a\u9636\u68af\u5f62<br \/> <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> [ 3 5 \u2212 4 0 \u2212 3 \u2212 2 4 0 6 1 \u2212 8 0 ] \\begin{bmatrix}3 &amp;amp; 5 &amp;amp; -4 &amp;amp; 0 \\\\ -3 &amp;amp; -2 &amp;amp; 4 &amp;amp; 0 \\\\ 6 &amp;amp; 1 &amp;amp; -8 &amp;amp; 0\\end{bmatrix} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">3<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">3<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">6<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">5<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">4<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">4<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">8<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff5e<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> [ 3 5 \u2212 4 0 0 3 0 0 0 9 0 0 ] \\begin{bmatrix} 3 &amp;amp; 5 &amp;amp; -4 &amp;amp; 0 \\\\ 0 &amp;amp; 3 &amp;amp; 0 &amp;amp; 0 \\\\ 0 &amp;amp; 9 &amp;amp; 0 &amp;amp; 0\\end{bmatrix} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">3<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">5<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">3<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">9<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">4<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff5e<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> [ 3 5 \u2212 4 0 0 3 0 0 0 0 0 0 ] \\begin{bmatrix} 3 &amp;amp; 5 &amp;amp; -4 &amp;amp; 0 \\\\ 0 &amp;amp; 3 &amp;amp; 0 &amp;amp; 0 \\\\ 0 &amp;amp; 0 &amp;amp; 0 &amp;amp; 0\\end{bmatrix} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">3<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">5<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">3<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">4<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/> \u56e0\u4e3a<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x 3 x_3 <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.58056em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u81ea\u7531\u53d8\u91cf\uff0c\u6545<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = 0 \\boldsymbol{Ax}=\\boldsymbol{0} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.64444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u6709\u5e73\u51e1\u89e3\uff08\u5bf9<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x 3 x_3 <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.58056em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u6bcf\u4e00\u4e2a\u9009\u62e9\u90fd\u6709\u4e00\u4e2a\u89e3\uff09\u3002\u4e3a\u63cf\u8ff0\u89e3\u96c6\uff0c\u7ee7\u7eed\u628a<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> [ A 0 ] \\begin{bmatrix}\\boldsymbol{A} &amp;amp; \\boldsymbol{0} \\end{bmatrix} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.20001em; vertical-align: -0.35001em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em;\"><span class=\"delimsizing size1\">[<\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.85em;\"><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.35em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.85em;\"><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">0<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.35em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em;\"><span class=\"delimsizing size1\">]<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5316\u4e3a\u7b80\u5316\u9636\u68af\u5f62\uff1a<br \/> <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> [ 1 0 \u2212 4 3 0 0 1 0 0 0 0 0 0 ] { x 1 = f r a c 43 x 3 x 2 = 0 x 3 \u4e3a \u81ea \u7531 \u53d8 \u91cf \\begin{bmatrix} 1 &amp;amp; 0 &amp;amp; -\\frac{4}{3} &amp;amp; 0 \\\\ 0 &amp;amp; 1 &amp;amp; 0 &amp;amp; 0 \\\\ 0 &amp;amp; 0 &amp;amp; 0 &amp;amp; 0 \\end{bmatrix} \\qquad \\begin{cases} x_1 = frac{4}{3}x_3 \\\\ x_2 = 0 \\\\ x_3\u4e3a\u81ea\u7531\u53d8\u91cf \\\\ \\end{cases} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 4.32em; vertical-align: -1.91em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05255em;\"><span class=\"\" style=\"top: -4.20745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -3.00745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.80745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55255em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05255em;\"><span class=\"\" style=\"top: -4.20745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -3.00745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -1.80745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55255em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05255em;\"><span class=\"\" style=\"top: -4.20745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.845108em;\"><span class=\"\" style=\"top: -2.655em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em;\"><\/span><\/span><span class=\"\" style=\"top: -3.394em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">4<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.00745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.80745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55255em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05255em;\"><span class=\"\" style=\"top: -4.20745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -3.00745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.80745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55255em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mspace\" style=\"margin-right: 2em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.35002em;\"><span class=\"\" style=\"top: -2.19999em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a9<\/span><\/span><\/span><span class=\"\" style=\"top: -2.19999em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23aa<\/span><\/span><\/span><span class=\"\" style=\"top: -3.15001em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a8<\/span><\/span><\/span><span class=\"\" style=\"top: -4.30001em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23aa<\/span><\/span><\/span><span class=\"\" style=\"top: -4.60002em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a7<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.85002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.41em;\"><span class=\"\" style=\"top: -4.41em;\"><span class=\"pstrut\" style=\"height: 3.008em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mord mathit\" style=\"margin-right: 0.10764em;\">f<\/span><span class=\"mord mathit\" style=\"margin-right: 0.02778em;\">r<\/span><span class=\"mord mathit\">a<\/span><span class=\"mord mathit\">c<\/span><span class=\"mord\"><span class=\"mord\">4<\/span><\/span><span class=\"mord\"><span class=\"mord\">3<\/span><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.97em;\"><span class=\"pstrut\" style=\"height: 3.008em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.53em;\"><span class=\"pstrut\" style=\"height: 3.008em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord cjk_fallback\">\u4e3a<\/span><span class=\"mord cjk_fallback\">\u81ea<\/span><span class=\"mord cjk_fallback\">\u7531<\/span><span class=\"mord cjk_fallback\">\u53d8<\/span><span class=\"mord cjk_fallback\">\u91cf<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.91em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><br \/> <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = 0 \\boldsymbol{Ax}=\\boldsymbol{0} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.64444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u901a\u89e3\u6709\u5411\u91cf\u5f62\u5f0f<br \/> <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x = [ x 1 x 2 x 3 ] = [ 4 3 x 3 0 x 3 ] = x 3 [ 4 3 0 1 ] = x 3 v \uff0c \u5176 \u4e2d v = [ 4 3 0 1 ] \\boldsymbol{x}=\\begin{bmatrix}x_1 \\\\ x_2 \\\\ x_3\\end{bmatrix}=\\begin{bmatrix}\\frac{4}{3}x_3 \\\\ 0 \\\\ x_3\\end{bmatrix}=x_3\\begin{bmatrix}\\frac{4}{3} \\\\ 0 \\\\ 1\\end{bmatrix}=x_3\\boldsymbol{v}\uff0c\u5176\u4e2d\\boldsymbol{v}=\\begin{bmatrix}\\frac{4}{3} \\\\ 0 \\\\ 1\\end{bmatrix} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60511em; vertical-align: -1.55255em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05255em;\"><span class=\"\" style=\"top: -4.20745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.845108em;\"><span class=\"\" style=\"top: -2.655em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em;\"><\/span><\/span><span class=\"\" style=\"top: -3.394em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">4<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.00745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.80745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55255em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60511em; vertical-align: -1.55255em;\"><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05255em;\"><span class=\"\" style=\"top: -4.20745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.845108em;\"><span class=\"\" style=\"top: -2.655em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em;\"><\/span><\/span><span class=\"\" style=\"top: -3.394em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">4<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.00745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.80745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55255em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.59444em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><\/span><\/span><span class=\"mord cjk_fallback\">\uff0c<\/span><span class=\"mord cjk_fallback\">\u5176<\/span><span class=\"mord cjk_fallback\">\u4e2d<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60511em; vertical-align: -1.55255em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05255em;\"><span class=\"\" style=\"top: -4.20745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.845108em;\"><span class=\"\" style=\"top: -2.655em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em;\"><\/span><\/span><span class=\"\" style=\"top: -3.394em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">4<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.00745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.80745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55255em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/> \u6ce8\u610f\uff0c\u975e\u5e73\u51e1\u89e3\u5411\u91cf<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x \\boldsymbol{x} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u53ef\u80fd\u6709\u4e9b\u96f6\u5143\u7d20\uff0c\u53ea\u8981\u4e0d\u662f\u6240\u6709\u5143\u7d20\u90fd\u662f0\u5373\u53ef\u3002<\/p>\n<p>\u63cf\u8ff0\u9f50\u6b21\u65b9\u7a0b\u7ec4<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> { 10 x 1 \u2212 3 x 2 \u2212 2 x 3 = 0 \\begin{cases} 10x_1 - 3x_2 - 2x_3 = 0 \\\\ \\end{cases} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.80002em; vertical-align: -0.65002em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em;\"><span class=\"delimsizing size2\">{<br \/>\n        <!-- --><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.97em;\"><span class=\"\" style=\"top: -2.97em;\"><span class=\"pstrut\" style=\"height: 3.008em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><span class=\"mord\">0<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\">3<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\">2<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.47em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u89e3\u96c6\u3002<br \/> \u89e3\uff1a\u8fd9\u91cc\u65e0\u987b\u77e9\u9635\u8bb0\u53f7\u3002\u7528\u81ea\u7531\u53d8\u91cf<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x 2 x_2 <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.58056em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u548c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x 3 x_3 <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.58056em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u8868\u793a\u57fa\u672c\u53d8\u91cf<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x 1 x_1 <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.58056em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002\u901a\u89e3\u4e3a:<br \/> <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x = [ x 1 x 2 x 3 ] = [ 0.3 x 2 + 0.2 x 3 0 x 3 ] = [ 0.3 x 2 0 0 ] + [ 0.2 x 3 0 0 ] = x 2 [ 0.3 0 0 ] + x 3 [ 0.2 0 0 ] = x 2 u + x 3 v \uff0c \u5176 \u4e2d u = [ 0.3 0 0 ] \uff0c v = [ 0.2 0 0 ] \\boldsymbol{x}=\\begin{bmatrix}x_1 \\\\ x_2 \\\\ x_3\\end{bmatrix}=\\begin{bmatrix}0.3x_2 + 0.2x_3 \\\\ 0 \\\\ x_3\\end{bmatrix}=\\begin{bmatrix}0.3x_2 \\\\ 0 \\\\ 0\\end{bmatrix} + \\begin{bmatrix}0.2x_3 \\\\ 0 \\\\ 0\\end{bmatrix} \\\\ \\quad=x_2\\begin{bmatrix}0.3 \\\\ 0 \\\\ 0\\end{bmatrix} + x_3\\begin{bmatrix}0.2 \\\\ 0 \\\\ 0\\end{bmatrix} \\\\ \\quad=x_2\\boldsymbol{u}+x_3\\boldsymbol{v}\uff0c\u5176\u4e2d\\boldsymbol{u}=\\begin{bmatrix}0.3 \\\\ 0 \\\\ 0\\end{bmatrix}\uff0c\\boldsymbol{v}=\\begin{bmatrix}0.2 \\\\ 0 \\\\ 0\\end{bmatrix} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"mord\">.<\/span><span class=\"mord\">3<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\">0<\/span><span class=\"mord\">.<\/span><span class=\"mord\">2<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"mord\">.<\/span><span class=\"mord\">3<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"mord\">.<\/span><span class=\"mord\">2<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"mspace newline\"><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.36687em; vertical-align: 0em;\"><\/span><span class=\"mspace\" style=\"margin-right: 1em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"mord\">.<\/span><span class=\"mord\">3<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"mord\">.<\/span><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"mspace newline\"><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.36687em; vertical-align: 0em;\"><\/span><span class=\"mspace\" style=\"margin-right: 1em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.73333em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">u<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.59444em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><\/span><\/span><span class=\"mord cjk_fallback\">\uff0c<\/span><span class=\"mord cjk_fallback\">\u5176<\/span><span class=\"mord cjk_fallback\">\u4e2d<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">u<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"mord\">.<\/span><span class=\"mord\">3<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord cjk_fallback\">\uff0c<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"mord\">.<\/span><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u9f50\u6b21\u65b9\u7a0b<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = 0 \\boldsymbol{Ax}=\\boldsymbol{0} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.64444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u603b\u53ef\u8868\u793a\u4e3a<strong>Span{<br \/>\n  <!-- --><\/strong><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> v 1 , \u22ef &amp;ThinSpace; , v p \\boldsymbol{v_1},\\cdots,\\boldsymbol{v_p} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.730548em; vertical-align: -0.286108em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: -0.03704em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathbf mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"minner\">\u22ef<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.161108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: -0.03704em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord boldsymbol mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><strong>}<\/strong>\uff0c\u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> v 1 , \u22ef &amp;ThinSpace; , v p \\boldsymbol{v_1},\\cdots,\\boldsymbol{v_p} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.730548em; vertical-align: -0.286108em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: -0.03704em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathbf mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"minner\">\u22ef<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.161108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: -0.03704em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord boldsymbol mtight\">p<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.286108em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u9002\u5f53\u7684\u89e3\u5411\u91cf\u3002\u82e5\u552f\u4e00\u89e3\u662f\u96f6\u5411\u91cf\uff0c\u5219\u89e3\u96c6\u5c31\u662f<strong>Span{<br \/>\n  <!-- --><\/strong><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> 0 \\boldsymbol{0} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.64444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span><strong>}<\/strong>\uff1b\u82e5\u65b9\u7a0b<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = 0 \\boldsymbol{Ax}=\\boldsymbol{0} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.64444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4ec5\u6709\u4e00\u4e2a\u81ea\u7531\u53d8\u91cf\uff0c\u5219\u89e3\u96c6\u662f\u901a\u8fc7\u539f\u70b9\u7684\u4e00\u6761\u76f4\u7ebf\u3002\u82e5\u6709\u4e24\u4e2a\u6216\u66f4\u591a\u4e2a\u81ea\u7531\u53d8\u91cf\uff0c\u5219\u89e3\u96c6\u662f\u901a\u8fc7\u539f\u70b9\u7684\u5e73\u9762\u3002<\/p>\n<p>\u4e0a\u8ff0\u65b9\u7a0b<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> { 10 x 1 \u2212 3 x 2 \u2212 2 x 3 = 0 \\begin{cases}{ 10x_1 - 3x_2 - 2x_3 = 0 }\\end{cases} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.80002em; vertical-align: -0.65002em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em;\"><span class=\"delimsizing size2\">{<br \/>\n        <!-- --><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.97em;\"><span class=\"\" style=\"top: -2.97em;\"><span class=\"pstrut\" style=\"height: 3.008em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\">1<\/span><span class=\"mord\">0<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\">3<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\">2<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.47em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u5e73\u9762\u7684<strong>\u9690\u5f0f\u63cf\u8ff0<\/strong>\uff0c\u89e3\u6b64\u65b9\u7a0b\u5c31\u662f\u8981\u627e\u8fd9\u4e2a\u5e73\u9762\u7684<strong>\u663e\u793a\u63cf\u8ff0<\/strong>\uff08<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x = x 2 u + x 3 v \\boldsymbol{x}=x_2\\boldsymbol{u}+x_3\\boldsymbol{v} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.73333em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">u<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.59444em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff09\uff0c\u5c31\u662f\u8bf4\u5c06\u5b83\u4f5c\u4e3a<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> u \\boldsymbol{u} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">u<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u548c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> v \\boldsymbol{v} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u5b50\u96c6\u3002<br \/> \u663e\u793a\u63cf\u8ff0\u79f0\u4e3a\u5e73\u9762\u7684<strong>\u53c2\u6570\u5411\u91cf\u65b9\u7a0b<\/strong>\uff0c\u8bb0\u4e3a<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x = s u + t v ( s , t \u4e3a \u5b9e \u6570 ) \\boldsymbol{x}=s\\boldsymbol{u}+t\\boldsymbol{v}\\quad(s,t\u4e3a\u5b9e\u6570) <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.66666em; vertical-align: -0.08333em;\"><\/span><span class=\"mord mathit\">s<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">u<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em; vertical-align: -0.25em;\"><\/span><span class=\"mord mathit\">t<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 1em;\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathit\">s<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord mathit\">t<\/span><span class=\"mord cjk_fallback\">\u4e3a<\/span><span class=\"mord cjk_fallback\">\u5b9e<\/span><span class=\"mord cjk_fallback\">\u6570<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u3002\u5f53\u89e3\u96c6\u7528\u5411\u91cf\u663e\u793a\u8868\u793a\uff0c\u6211\u4eec\u79f0\u4e4b\u4e3a\u89e3\u7684<strong>\u53c2\u6570\u5411\u91cf\u5f62\u5f0f<\/strong>\u3002<\/p>\n<h3>\u975e\u9f50\u6b21\u65b9\u7a0b\u7ec4\u7684\u89e3<\/h3>\n<p>\u63cf\u8ff0<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = b \\boldsymbol{Ax}=\\boldsymbol{b} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.69444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u89e3\uff0c\u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A = [ 3 5 \u2212 4 \u2212 3 \u2212 2 4 6 1 \u2212 8 ] \\boldsymbol{A}=\\begin{bmatrix}3 &amp;amp; 5 &amp;amp; -4 \\\\ -3 &amp;amp; -2 &amp;amp; 4 \\\\ 6 &amp;amp; 1 &amp;amp; -8\\end{bmatrix} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">3<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">3<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">6<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">5<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">4<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">4<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">8<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> b = [ 7 \u2212 1 \u2212 4 ] \\boldsymbol{b}=\\begin{bmatrix} 7 &amp;amp; -1 &amp;amp; -4 \\end{bmatrix} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.69444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">b<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.20001em; vertical-align: -0.35001em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em;\"><span class=\"delimsizing size1\">[<\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.85em;\"><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">7<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.35em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.85em;\"><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.35em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.85em;\"><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.35em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em;\"><span class=\"delimsizing size1\">]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/> \u89e3\uff1a\u5bf9<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> [ A b ] \\begin{bmatrix}\\boldsymbol{A} &amp;amp; \\boldsymbol{b}\\end{bmatrix} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.20001em; vertical-align: -0.35001em;\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em;\"><span class=\"delimsizing size1\">[<\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.85em;\"><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.35em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.85em;\"><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">b<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.35em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em;\"><span class=\"delimsizing size1\">]<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4f5c\u884c\u53d8\u6362\u5f97<br \/> <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> [ 3 5 \u2212 4 7 \u2212 3 \u2212 2 4 \u2212 1 6 1 \u2212 8 \u2212 4 ] \\begin{bmatrix}3 &amp;amp; 5 &amp;amp; -4 &amp;amp; 7 \\\\ -3 &amp;amp; -2 &amp;amp; 4 &amp;amp; -1 \\\\ 6 &amp;amp; 1 &amp;amp; -8 &amp;amp; -4\\end{bmatrix} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">3<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">3<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">6<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">5<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">4<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">4<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">8<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">7<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff5e<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> [ 1 0 \u2212 4 3 \u2212 1 0 1 0 2 0 0 0 0 ] \\begin{bmatrix}1 &amp;amp; 0 &amp;amp; -\\frac{4}{3} &amp;amp; -1 \\\\ 0 &amp;amp; 1 &amp;amp; 0 &amp;amp; 2 \\\\ 0 &amp;amp; 0 &amp;amp; 0 &amp;amp; 0\\end{bmatrix} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 3.60511em; vertical-align: -1.55255em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05255em;\"><span class=\"\" style=\"top: -4.20745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -3.00745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.80745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55255em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05255em;\"><span class=\"\" style=\"top: -4.20745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -3.00745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -1.80745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55255em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05255em;\"><span class=\"\" style=\"top: -4.20745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.845108em;\"><span class=\"\" style=\"top: -2.655em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em;\"><\/span><\/span><span class=\"\" style=\"top: -3.394em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">4<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.00745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.80745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55255em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05255em;\"><span class=\"\" style=\"top: -4.20745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -3.00745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -1.80745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55255em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/> \u628a\u6bcf\u4e2a\u57fa\u672c\u53d8\u91cf\u7528\u81ea\u7531\u53d8\u91cf\u8868\u793a\uff1a<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> { x 1 \u2212 4 3 = \u2212 1 x 2 = 2 0 = 0 \\begin{cases} x_1 - \\frac{4}{3} = -1 \\\\ x_2 = 2 \\\\ 0 = 0 \\\\ \\end{cases} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 4.32em; vertical-align: -1.91em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.35002em;\"><span class=\"\" style=\"top: -2.19999em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a9<\/span><\/span><\/span><span class=\"\" style=\"top: -2.19999em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23aa<\/span><\/span><\/span><span class=\"\" style=\"top: -3.15001em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a8<\/span><\/span><\/span><span class=\"\" style=\"top: -4.30001em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23aa<\/span><\/span><\/span><span class=\"\" style=\"top: -4.60002em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a7<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.85002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.41em;\"><span class=\"\" style=\"top: -4.41em;\"><span class=\"pstrut\" style=\"height: 3.008em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.845108em;\"><span class=\"\" style=\"top: -2.655em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em;\"><\/span><\/span><span class=\"\" style=\"top: -3.394em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">4<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -2.97em;\"><span class=\"pstrut\" style=\"height: 3.008em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -1.53em;\"><span class=\"pstrut\" style=\"height: 3.008em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.91em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><br \/> <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = b \\boldsymbol{Ax}=\\boldsymbol{b} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.69444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u901a\u89e3\u53ef\u5199\u6210\u5411\u91cf\u5f62\u5f0f<br \/> <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x = [ x 1 x 2 x 3 ] = [ \u2212 1 + 4 3 x 3 2 x 3 ] = [ \u2212 1 2 0 ] + [ 4 3 x 3 0 x 3 ] = [ \u2212 1 2 0 ] + x 3 [ 4 3 0 1 ] \\boldsymbol{x}=\\begin{bmatrix}x_1 \\\\ x_2 \\\\ x_3\\end{bmatrix}=\\begin{bmatrix}-1+\\frac{4}{3}x_3 \\\\ 2 \\\\ x_3\\end{bmatrix}=\\begin{bmatrix}-1 \\\\ 2 \\\\ 0\\end{bmatrix}+\\begin{bmatrix}\\frac{4}{3}x_3 \\\\ 0 \\\\ x_3\\end{bmatrix}\\\\ \\quad=\\begin{bmatrix}-1 \\\\ 2 \\\\ 0\\end{bmatrix} + x_3\\begin{bmatrix}\\frac{4}{3} \\\\ 0 \\\\ 1\\end{bmatrix} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60511em; vertical-align: -1.55255em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05255em;\"><span class=\"\" style=\"top: -4.20745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.845108em;\"><span class=\"\" style=\"top: -2.655em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em;\"><\/span><\/span><span class=\"\" style=\"top: -3.394em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">4<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.00745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -1.80745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55255em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60511em; vertical-align: -1.55255em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05255em;\"><span class=\"\" style=\"top: -4.20745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.845108em;\"><span class=\"\" style=\"top: -2.655em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em;\"><\/span><\/span><span class=\"\" style=\"top: -3.394em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">4<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.00745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.80745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55255em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"mspace newline\"><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.36687em; vertical-align: 0em;\"><\/span><span class=\"mspace\" style=\"margin-right: 1em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60511em; vertical-align: -1.55255em;\"><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05255em;\"><span class=\"\" style=\"top: -4.20745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.845108em;\"><span class=\"\" style=\"top: -2.655em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em;\"><\/span><\/span><span class=\"\" style=\"top: -3.394em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">4<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.00745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.80745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55255em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/> \u65b9\u7a0b<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x = p + x 3 v \uff0c \u5176 \u4e2d p = [ \u2212 1 2 0 ] , v = [ 4 3 0 1 ] \\boldsymbol{x}=\\boldsymbol{p} + x_3\\boldsymbol{v}\uff0c\u5176\u4e2d\\boldsymbol{p}=\\begin{bmatrix}-1 \\\\ 2 \\\\ 0\\end{bmatrix},\\boldsymbol{v}=\\begin{bmatrix}\\frac{4}{3} \\\\ 0 \\\\ 1\\end{bmatrix} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.77777em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">p<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.63888em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><\/span><\/span><span class=\"mord cjk_fallback\">\uff0c<\/span><span class=\"mord cjk_fallback\">\u5176<\/span><span class=\"mord cjk_fallback\">\u4e2d<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">p<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">1<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.166667em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.60511em; vertical-align: -1.55255em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05255em;\"><span class=\"\" style=\"top: -4.20745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.845108em;\"><span class=\"\" style=\"top: -2.655em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em;\"><\/span><\/span><span class=\"\" style=\"top: -3.394em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">4<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.00745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.80745em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55255em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0c\u6216\u7528<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> t t <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.61508em; vertical-align: 0em;\"><\/span><span class=\"mord mathit\">t<\/span><\/span><\/span><\/span><\/span>\u8868\u793a\u81ea\u7531\u53d8\u91cf\uff0c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x = p + t v \\boldsymbol{x}=\\boldsymbol{p} + t\\boldsymbol{v} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.77777em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">p<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.61508em; vertical-align: 0em;\"><\/span><span class=\"mord mathit\">t<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5c31\u662f\u7528\u53c2\u6570\u53d8\u91cf\u5f62\u5f0f\u8868\u793a\u7684<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = b \\boldsymbol{Ax}=\\boldsymbol{b} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.69444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u89e3\u96c6\u3002<\/p>\n<p>\u6ce8\u610f\uff1a\u7b2c\u4e00\u4e2a\u4f8b\u5b50\u9f50\u6b21\u65b9\u7a0b\u7ec4<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> { 3 x 1 + 5 x 2 \u2212 4 x 3 = 0 \u2212 3 x 1 \u2212 2 x 2 + 4 x 3 = 0 6 x 1 + x 2 \u2212 8 x 3 = 0 \\begin{cases} 3x_1 + 5x_2 - 4x_3 = 0 \\\\ -3x_1 - 2x_2 + 4x_3 = 0 \\\\ 6x_1 + x_2 - 8x_3 = 0 \\\\ \\end{cases} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 4.32em; vertical-align: -1.91em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.35002em;\"><span class=\"\" style=\"top: -2.19999em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a9<\/span><\/span><\/span><span class=\"\" style=\"top: -2.19999em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23aa<\/span><\/span><\/span><span class=\"\" style=\"top: -3.15001em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a8<\/span><\/span><\/span><span class=\"\" style=\"top: -4.30001em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23aa<\/span><\/span><\/span><span class=\"\" style=\"top: -4.60002em;\"><span class=\"pstrut\" style=\"height: 3.15em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a7<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.85002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-l\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.41em;\"><span class=\"\" style=\"top: -4.41em;\"><span class=\"pstrut\" style=\"height: 3.008em;\"><\/span><span class=\"mord\"><span class=\"mord\">3<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\">5<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\">4<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -2.97em;\"><span class=\"pstrut\" style=\"height: 3.008em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">3<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\">2<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\">4<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><span class=\"\" style=\"top: -1.53em;\"><span class=\"pstrut\" style=\"height: 3.008em;\"><\/span><span class=\"mord\"><span class=\"mord\">6<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mord\">8<\/span><span class=\"mord\"><span class=\"mord mathit\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.301108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: 0em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.91em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u7cfb\u6570\u77e9\u9635\u548c\u4e0a\u8bc9\u4f8b\u5b50\u7684\u7cfb\u6570\u77e9\u9635\u662f\u540c\u4e00\u77e9\u9635\uff1a<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> [ 3 5 \u2212 4 \u2212 3 \u2212 2 4 6 1 \u2212 8 ] \\begin{bmatrix}3 &amp;amp; 5 &amp;amp; -4 \\\\ -3 &amp;amp; -2 &amp;amp; 4 \\\\ 6 &amp;amp; 1 &amp;amp; -8\\end{bmatrix} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 3.60004em; vertical-align: -1.55002em;\"><\/span><span class=\"minner\"><span class=\"mopen\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a3<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">3<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">3<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">6<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">5<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em;\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05em;\"><span class=\"\" style=\"top: -4.21em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">4<\/span><\/span><\/span><span class=\"\" style=\"top: -3.01em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">4<\/span><\/span><\/span><span class=\"\" style=\"top: -1.81em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"mord\"><span class=\"mord\">\u2212<\/span><span class=\"mord\">8<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"delimsizing mult\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 2.05002em;\"><span class=\"\" style=\"top: -2.25em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a6<\/span><\/span><\/span><span class=\"\" style=\"top: -4.05002em;\"><span class=\"pstrut\" style=\"height: 3.155em;\"><\/span><span class=\"delimsizinginner delim-size4\"><span class=\"\">\u23a4<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.55002em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002\u4e24\u4e2a\u65b9\u7a0b\u7684\u53c2\u6570\u5f62\u5f0f\u7684<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> v \\boldsymbol{v} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u76f8\u540c\u7684\u3002\u6545<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = b \\boldsymbol{Ax}=\\boldsymbol{b} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.69444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u89e3\u53ef\u7531\u5411\u91cf<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> p \\boldsymbol{p} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.63888em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">p<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u52a0\u4e0a<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = 0 \\boldsymbol{Ax}=\\boldsymbol{0} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.64444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u89e3\u5f97\u5230\uff0c\u5411\u91cf<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> p \\boldsymbol{p} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.63888em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">p<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u672c\u8eab\u4e5f\u662f<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = b \\boldsymbol{Ax}=\\boldsymbol{b} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.69444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u4e00\u4e2a\u7279\u89e3\u3002<\/p>\n<p>\u4e3a\u4e86\u4ece\u51e0\u4f55\u4e0a\u63cf\u8ff0<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = b \\boldsymbol{Ax}=\\boldsymbol{b} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.69444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u89e3\u96c6\uff0c\u6211\u4eec\u53ef\u4ee5\u628a\u5411\u91cf\u52a0\u6cd5\u89e3\u91ca\u4e3a<strong>\u5e73\u79fb<\/strong>\u3002<br \/> \u8bbe<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> L \\boldsymbol{L} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">L<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u901a\u8fc7<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> 0 \\boldsymbol{0} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.64444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e0e<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> v \\boldsymbol{v} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u76f4\u7ebf\u3002<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> L \\boldsymbol{L} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">L<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u6bcf\u4e2a\u70b9\u52a0\u4e0a<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> p \\boldsymbol{p} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.63888em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">p<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5f97\u5230<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x = p + t v \\boldsymbol{x}=\\boldsymbol{p} + t\\boldsymbol{v} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.77777em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">p<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.61508em; vertical-align: 0em;\"><\/span><span class=\"mord mathit\">t<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u8868\u793a\u7684\u5e73\u79fb\u540e\u7684\u76f4\u7ebf\u3002\u6ce8\u610f<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> p \\boldsymbol{p} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.63888em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">p<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e5f\u5728\u5e73\u79fb\u540e\u7684\u76f4\u7ebf\u4e0a\u3002\u79f0<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x = p + t v \\boldsymbol{x}=\\boldsymbol{p} + t\\boldsymbol{v} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.77777em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">p<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.61508em; vertical-align: 0em;\"><\/span><span class=\"mord mathit\">t<\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e3a<strong>\u901a\u8fc7<\/strong><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> p \\boldsymbol{p} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.63888em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">p<\/span><\/span><\/span><\/span><\/span><\/span><\/span><strong>\u5e73\u884c\u4e8e<\/strong><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> v \\boldsymbol{v} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><\/span><\/span><\/span><\/span><\/span><\/span><strong>\u7684\u76f4\u7ebf\u65b9\u7a0b<\/strong>\u3002\u7efc\u4e0a\uff0c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = b \\boldsymbol{Ax}=\\boldsymbol{b} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.69444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><strong>\u7684\u89e3\u96c6\u662f\u4e00\u6761\u901a\u8fc7<\/strong><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> p \\boldsymbol{p} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.63888em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">p<\/span><\/span><\/span><\/span><\/span><\/span><\/span><strong>\u800c\u5e73\u884c\u4e8e<\/strong><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = 0 \\boldsymbol{Ax}=\\boldsymbol{0} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.64444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span><strong>\u7684\u89e3\u96c6\u7684\u76f4\u7ebf<\/strong>\u3002<\/p>\n<p>\u8bbe\u65b9\u7a0b<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = b \\boldsymbol{Ax}=\\boldsymbol{b} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.69444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5bf9\u67d0\u4e2a<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> b \\boldsymbol{b} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.69444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u76f8\u5bb9\u7684\uff0c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> p \\boldsymbol{p} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.63888em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">p<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e3a\u4e00\u4e2a\u7279\u89e3\uff0c\u5219<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = b \\boldsymbol{Ax}=\\boldsymbol{b} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.69444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u89e3\u96c6\u662f\u6240\u6709\u5f62\u5982<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> w = p + v h \\boldsymbol{w}=\\boldsymbol{p} + \\boldsymbol{v_h} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.02778em;\">w<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.77777em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">p<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><span class=\"mbin\">+<\/span><span class=\"mspace\" style=\"margin-right: 0.222222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.59444em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.336108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: -0.03704em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord boldsymbol mtight\">h<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u5411\u91cf\u7684\u96c6\uff0c\u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> v h \\boldsymbol{v_h} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.59444em; vertical-align: -0.15em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\" style=\"margin-right: 0.03704em;\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.336108em;\"><span class=\"\" style=\"top: -2.55em; margin-left: -0.03704em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord boldsymbol mtight\">h<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u662f\u9f50\u6b21\u65b9\u7a0b<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = 0 \\boldsymbol{Ax}=\\boldsymbol{0} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.64444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathbf\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u4efb\u610f\u4e00\u4e2a\u89e3\u3002<br \/> \u6ce8\u610f\uff1a\u4ec5\u9002\u7528\u4e8e\u65b9\u7a0b<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = b \\boldsymbol{Ax}=\\boldsymbol{b} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.69444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u81f3\u5c11\u6709\u4e00\u4e2a\u975e\u96f6\u89e3<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> p \\boldsymbol{p} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.63888em; vertical-align: -0.19444em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">p<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u524d\u63d0\u4e0b\u3002\u5f53<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> A x = b \\boldsymbol{Ax}=\\boldsymbol{b} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.68611em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">A<\/span><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.277778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.69444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u65e0\u89e3\u65f6\uff0c\u89e3\u96c6\u662f\u7a7a\u96c6\u3002<\/p>\n<p>\u628a\uff08\u76f8\u5bb9\u65b9\u7a0b\u7ec4\u7684\uff09\u89e3\u96c6\u8868\u793a\u79f0\u53c2\u6570\u5411\u91cf\u5f62\u5f0f\uff1a<\/p>\n<ol>\n<li>\u628a\u589e\u5e7f\u77e9\u9635\u884c\u5316\u7b80\u4e3a\u7b80\u5316\u9636\u68af\u5f62\u77e9\u9635\u3002<\/li>\n<li>\u628a\u6bcf\u4e2a\u57fa\u672c\u53d8\u91cf\u7528\u81ea\u7531\u53d8\u91cf\u8868\u793a\u3002<\/li>\n<li>\u628a\u4e00\u822c\u89e3<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x \\boldsymbol{x} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u8868\u793a\u79f0\u5411\u91cf\uff0c\u5982\u679c\u6709\u81ea\u7531\u53d8\u91cf\uff0c\u5176\u5143\u7d20\u4f9d\u8d56\u4e8e\u81ea\u7531\u53d8\u91cf\u3002<\/li>\n<li>\u628a<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> x \\boldsymbol{x} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.44444em; vertical-align: 0em;\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord boldsymbol\">x<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5206\u89e3\u4e3a\u5411\u91cf\uff08\u5143\u7d20\u4e3a\u5e38\u6570\uff09\u7684\u7ebf\u6027\u7ec4\u5408\uff0c\u7528\u81ea\u7531\u53d8\u91cf\u4f5c\u4e3a\u53c2\u6570\u3002<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"\u7ebf\u6027\u65b9\u7a0b\u7ec4\uff08\u4e94\uff09- \u7ebf\u6027\u65b9\u7a0b\u7ec4\u7684\u89e3\u96c6\u5c0f\u7ed3\u9f50\u6b21\u7ebf\u6027\u65b9\u7a0b\u7ec4\u7684\u5b9a\u4e49","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"_links":{"self":[{"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/posts\/8962"}],"collection":[{"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/comments?post=8962"}],"version-history":[{"count":0,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/posts\/8962\/revisions"}],"wp:attachment":[{"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/media?parent=8962"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/categories?post=8962"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/tags?post=8962"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}