{"id":21629,"date":"2025-08-31T22:10:45","date_gmt":"2025-08-31T14:10:45","guid":{"rendered":"https:\/\/blog.iyatt.com\/?p=21629"},"modified":"2025-10-01T20:12:19","modified_gmt":"2025-10-01T12:12:19","slug":"%e7%9f%a9%e9%98%b5%e5%9f%ba%e7%a1%80","status":"publish","type":"post","link":"https:\/\/blog.iyatt.com\/?p=21629","title":{"rendered":"\u77e9\u9635\u57fa\u7840"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 ez-toc-wrap-center counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">\u76ee\u5f55<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E5%9F%BA%E7%A1%80%E6%A6%82%E5%BF%B5\" >\u57fa\u7840\u6982\u5ff5<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E7%9F%A9%E9%98%B5\" >\u77e9\u9635<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E5%90%8C%E5%9E%8B%E7%9F%A9%E9%98%B5\" >\u540c\u578b\u77e9\u9635<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E7%9F%A9%E9%98%B5%E7%9B%B8%E7%AD%89\" >\u77e9\u9635\u76f8\u7b49<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E4%BC%B4%E9%9A%8F%E7%9F%A9%E9%98%B5\" >\u4f34\u968f\u77e9\u9635<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E9%9B%B6%E7%9F%A9%E9%98%B5\" >\u96f6\u77e9\u9635<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#n_%E9%98%B6%E6%96%B9%E9%98%B5\" >n \u9636\u65b9\u9635<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E5%8D%95%E4%BD%8D%E7%9F%A9%E9%98%B5\" >\u5355\u4f4d\u77e9\u9635<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E6%95%B0%E9%87%8F%E7%9F%A9%E9%98%B5\" >\u6570\u91cf\u77e9\u9635<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E8%BD%AC%E7%BD%AE%E7%9F%A9%E9%98%B5\" >\u8f6c\u7f6e\u77e9\u9635<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E9%9D%9E%E5%A5%87%E5%BC%82%E7%9F%A9%E9%98%B5\" >\u975e\u5947\u5f02\u77e9\u9635<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E6%AD%A3%E4%BA%A4%E7%9F%A9%E9%98%B5\" >\u6b63\u4ea4\u77e9\u9635<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E5%AF%B9%E8%A7%92%E7%9F%A9%E9%98%B5\" >\u5bf9\u89d2\u77e9\u9635<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E5%AF%B9%E7%A7%B0%E7%9F%A9%E9%98%B5\" >\u5bf9\u79f0\u77e9\u9635<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E7%9F%A9%E9%98%B5%E7%9A%84%E8%BF%90%E7%AE%97\" >\u77e9\u9635\u7684\u8fd0\u7b97<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E5%8A%A0%E5%87%8F%E6%B3%95\" >\u52a0\u51cf\u6cd5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E4%B9%98%E6%B3%95\" >\u4e58\u6cd5<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E6%95%B0%E4%B8%8E%E7%9F%A9%E9%98%B5%E7%9A%84%E4%B9%98%E6%B3%95\" >\u6570\u4e0e\u77e9\u9635\u7684\u4e58\u6cd5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E7%9F%A9%E9%98%B5%E4%B8%8E%E7%9F%A9%E9%98%B5%E7%9A%84%E4%B9%98%E6%B3%95\" >\u77e9\u9635\u4e0e\u77e9\u9635\u7684\u4e58\u6cd5<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E6%80%A7%E8%B4%A8\" >\u6027\u8d28<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E7%89%B9%E6%AE%8A\" >\u7279\u6b8a<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E4%BA%8C%E9%98%B6%E7%9F%A9%E9%98%B5%E7%9A%84%E4%BC%B4%E9%9A%8F%E7%9F%A9%E9%98%B5\" >\u4e8c\u9636\u77e9\u9635\u7684\u4f34\u968f\u77e9\u9635<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-23\" href=\"https:\/\/blog.iyatt.com\/?p=21629\/#%E4%BC%B4%E9%9A%8F%E7%9F%A9%E9%98%B5%E7%9A%84%E7%A7%A9%E5%92%8C%E5%8E%9F%E6%96%B9%E9%98%B5%E7%9A%84%E7%A7%A9%E7%9A%84%E5%85%B3%E7%B3%BB\" >\u4f34\u968f\u77e9\u9635\u7684\u79e9\u548c\u539f\u65b9\u9635\u7684\u79e9\u7684\u5173\u7cfb<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h1><span class=\"ez-toc-section\" id=\"%E5%9F%BA%E7%A1%80%E6%A6%82%E5%BF%B5\"><\/span>\u57fa\u7840\u6982\u5ff5<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<h2><span class=\"ez-toc-section\" id=\"%E7%9F%A9%E9%98%B5\"><\/span>\u77e9\u9635<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5f62\u5982<code class=\"katex-inline\">A=\\begin{pmatrix}a_{11}&a_{12}&\\cdots&a_{1n}\\\\a_{21}&a_{22}&\\cdots&a_{2n}\\\\ \\vdots&\\vdots&&\\vdots\\\\a_{m1}&a_{m2}&\\cdots&a_{mn}\\end{pmatrix}<\/code>\u79f0\u4e3a<code class=\"katex-inline\">m\\times n<\/code>\u9636\u77e9\u9635\uff0c\u8bb0\u4e3a<code class=\"katex-inline\">A=(a_{ij})_{m\\times n}<\/code><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%90%8C%E5%9E%8B%E7%9F%A9%E9%98%B5\"><\/span>\u540c\u578b\u77e9\u9635<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e24\u4e2a\u77e9\u9635\u7684\u884c\u6570\u548c\u5217\u6570\u5206\u522b\u76f8\u7b49\uff0c\u5219\u8fd9\u4e24\u4e2a\u77e9\u9635\u4e3a<strong>\u540c\u578b\u77e9\u9635<\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E7%9F%A9%E9%98%B5%E7%9B%B8%E7%AD%89\"><\/span>\u77e9\u9635\u76f8\u7b49<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u82e5A\u3001B\u4e24\u4e2a\u77e9\u9635\u7684\u5143\u7d20\u4e00\u4e00\u76f8\u7b49\uff0c\u5219\u79f0\u4e24\u4e2a<strong>\u77e9\u9635\u76f8\u7b49<\/strong>\uff0c\u8bb0\u4e3a A=B<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E4%BC%B4%E9%9A%8F%E7%9F%A9%E9%98%B5\"><\/span>\u4f34\u968f\u77e9\u9635<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><code class=\"katex-inline\">A=\\begin{pmatrix}a_{11}&a_{12}&\\cdots&a_{1n}\\\\a_{21}&a_{22}&\\cdots&a_{2n}\\\\ \\vdots&\\vdots&&\\vdots\\\\a_{n1}&a_{n2}&\\cdots&a_{nn}\\end{pmatrix}<\/code>\u4e3a n \u9636\u77e9\u9635\uff0c\u53d6<code class=\"katex-inline\">|A|=\\begin{vmatrix}a_{11}&a_{12}&\\cdots&a_{1n}\\\\a_{21}&a_{22}&\\cdots&a_{2n}\\\\ \\vdots&\\vdots&&\\vdots\\\\a_{n1}&a_{n2}&\\cdots&a_{nn}\\end{vmatrix}<\/code>\u3002\u8bb0 A \u4e2d\u7684 <code class=\"katex-inline\">a_{ij}<\/code>\u7684\u4f59\u5b50\u5f0f\u4e3a<code class=\"katex-inline\">M_{ij}<\/code>\uff0c\u4ee3\u6570\u4f59\u5b50\u5f0f\u4e3a<code class=\"katex-inline\">M_{ij}<\/code>\uff0c\u5219\u77e9\u9635 A \u7684\u4f34\u968f\u77e9\u9635\u4e3a <code class=\"katex-inline\">A^*=\\begin{pmatrix}A_{11}&A_{21}&\\cdots&A_{n1}\\\\A_{12}&A_{22}&\\cdots&A_{n2}\\\\ \\vdots&\\vdots&&\\vdots\\\\A_{1n}&A_{2n}&\\cdots&A_{nn}\\end{pmatrix}<\/code>\uff0c\u6ce8\u610f\u662f\u539f\u77e9\u9635\u5bf9\u5e94\u5143\u7d20\u53d6\u4ee3\u6570\u4f59\u5b50\u5f0f\uff0c\u7136\u540e\u518d<strong>\u8f6c\u7f6e<\/strong>\u7684\u7ed3\u679c\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E9%9B%B6%E7%9F%A9%E9%98%B5\"><\/span>\u96f6\u77e9\u9635<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8bbe<code class=\"katex-inline\">A=(a_{ij})_{m\\times n}<\/code>\uff0c\u82e5<code class=\"katex-inline\">\\forall a_{ij}=0<\/code>\uff0c\u79f0 A \u4e3a<strong>\u96f6\u77e9\u9635<\/strong>\uff0c\u8bb0\u4e3a A=O<\/p>\n<h2><span class=\"ez-toc-section\" id=\"n_%E9%98%B6%E6%96%B9%E9%98%B5\"><\/span>n \u9636\u65b9\u9635<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8bbe<code class=\"katex-inline\">A=(a_{ij})_{m\\times n}<\/code>\uff0c\u82e5 m=n\uff0c\u79f0 A \u4e3a <strong>n \u9636\u65b9\u9635<\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%8D%95%E4%BD%8D%E7%9F%A9%E9%98%B5\"><\/span>\u5355\u4f4d\u77e9\u9635<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u79f0<code class=\"katex-inline\">E=\\begin{pmatrix}1&0&\\cdots&0\\\\0&1&\\cdots&0\\\\ \\vdots&\\vdots&&\\vdots\\\\0&0&\\cdots&1\\end{pmatrix}<\/code>\u4e3a<strong>\u5355\u4f4d\u77e9\u9635<\/strong>\uff0c\u5373\u4e3b\u5bf9\u89d2\u7ebf\u5143\u7d20\u5168\u4e3a 1\uff0c\u5176\u4f59\u5143\u7d20\u5168\u4e3a 0<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E6%95%B0%E9%87%8F%E7%9F%A9%E9%98%B5\"><\/span>\u6570\u91cf\u77e9\u9635<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u79f0<code class=\"katex-inline\">A=aE=a\\begin{pmatrix}1&0&\\cdots&0\\\\0&1&\\cdots&0\\\\ \\vdots&\\vdots&&\\vdots\\\\0&0&\\cdots&1\\end{pmatrix}=\\begin{pmatrix}a&0&\\cdots&0\\\\0&a&\\cdots&0\\\\ \\vdots&\\vdots&&\\vdots\\\\0&0&\\cdots&a\\end{pmatrix}<\/code>\u4e3a<strong>\u6570\u91cf\u77e9\u9635<\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E8%BD%AC%E7%BD%AE%E7%9F%A9%E9%98%B5\"><\/span>\u8f6c\u7f6e\u77e9\u9635<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><code class=\"katex-inline\">A=\\begin{pmatrix}a_{11}&a_{12}&\\cdots&a_{1n}\\\\a_{21}&a_{22}&\\cdots&a_{2n}\\\\ \\vdots&\\vdots&&\\vdots\\\\a_{m1}&a_{m2}&\\cdots&a_{mn}\\end{pmatrix}<\/code>\uff0c<code class=\"katex-inline\">A^T=\\begin{pmatrix}a_{11}&a_{21}&\\cdots&a_{m1}\\\\a_{12}&a_{22}&\\cdots&a_{m2}\\\\ \\vdots&\\vdots&&\\vdots\\\\a_{1n}&a_{2n}&\\cdots&a_{mn}\\end{pmatrix}<\/code>\uff0c<code class=\"katex-inline\">A^T<\/code>\u4e3a A \u7684\u8f6c\u7f6e\u77e9\u9635\uff0c\u5373\u884c\u5217\u4e92\u6362<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E9%9D%9E%E5%A5%87%E5%BC%82%E7%9F%A9%E9%98%B5\"><\/span>\u975e\u5947\u5f02\u77e9\u9635<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5bf9\u4e8e n \u9636\u65b9\u9635 A\uff0c\u82e5\u5b83\u7684\u884c\u5217\u5f0f\u503c <code class=\"katex-inline\">|A|\\ne0<\/code>\uff0c\u5219\u79f0 A \u4e3a<strong>\u975e\u5947\u5f02\u77e9\u9635<\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E6%AD%A3%E4%BA%A4%E7%9F%A9%E9%98%B5\"><\/span>\u6b63\u4ea4\u77e9\u9635<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u82e5 <code class=\"katex-inline\">A^TA=E<\/code>\uff0c\u79f0 A \u4e3a<strong>\u6b63\u4ea4\u77e9\u9635<\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%AF%B9%E8%A7%92%E7%9F%A9%E9%98%B5\"><\/span>\u5bf9\u89d2\u77e9\u9635<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u79f0<code class=\"katex-inline\">A=\\begin{pmatrix}l_1&&&\\\\&l_2&&\\\\&&\\ddots&\\\\&&&l_n \\end{pmatrix}<\/code>\u4e3a<strong>\u5bf9\u89d2\u77e9\u9635<\/strong>\uff0c\u5373\u9664\u4e86\u4e3b\u5bf9\u89d2\u7ebf\uff0c\u5176\u5b83\u5143\u7d20\u5168\u4e3a 0<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%AF%B9%E7%A7%B0%E7%9F%A9%E9%98%B5\"><\/span>\u5bf9\u79f0\u77e9\u9635<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6ee1\u8db3<code class=\"katex-inline\">A=A^T<\/code>\u7684\u65b9\u9635\u79f0\u4e3a\u5bf9\u79f0\u77e9\u9635\uff0c\u5373\u5143\u7d20\u5173\u4e8e\u4e3b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"%E7%9F%A9%E9%98%B5%E7%9A%84%E8%BF%90%E7%AE%97\"><\/span>\u77e9\u9635\u7684\u8fd0\u7b97<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<h2><span class=\"ez-toc-section\" id=\"%E5%8A%A0%E5%87%8F%E6%B3%95\"><\/span>\u52a0\u51cf\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><code class=\"katex-inline\">A=\\begin{pmatrix}a_{11}&a_{12}&\\cdots&a_{1n}\\\\a_{21}&a_{22}&\\cdots&a_{2n}\\\\ \\vdots&\\vdots&&\\vdots\\\\a_{m1}&a_{m2}&\\cdots&a_{mn}\\end{pmatrix}<\/code>\uff0c<code class=\"katex-inline\">B=\\begin{pmatrix}b_{11}&b_{12}&\\cdots&b_{1n}\\\\b_{21}&b_{22}&\\cdots&b_{2n}\\\\ \\vdots&\\vdots&&\\vdots\\\\b_{m1}&b_{m2}&\\cdots&b_{mn}\\end{pmatrix}<\/code>\uff0c\u5219<code class=\"katex-inline\">A\\pm B=\\begin{pmatrix}a_{11}\\pm b{11}&a_{12}\\pm b{12}&\\cdots&a_{1n}\\pm b{1n}\\\\a_{21}\\pm b{21}&a_{22}\\pm b{22}&\\cdots&a_{2n}\\pm b{2n}\\\\ \\vdots&\\vdots&&\\vdots\\\\a_{m1}\\pm b{m1}&a_{m2}\\pm b{m2}&\\cdots&a_{mn}\\pm b{mn}\\end{pmatrix}<\/code><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E4%B9%98%E6%B3%95\"><\/span>\u4e58\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"%E6%95%B0%E4%B8%8E%E7%9F%A9%E9%98%B5%E7%9A%84%E4%B9%98%E6%B3%95\"><\/span>\u6570\u4e0e\u77e9\u9635\u7684\u4e58\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u8bbe<code class=\"katex-inline\">A=\\begin{pmatrix}a_{11}&a_{12}&\\cdots&a_{1n}\\\\a_{21}&a_{22}&\\cdots&a_{2n}\\\\ \\vdots&\\vdots&&\\vdots\\\\a_{m1}&a_{m2}&\\cdots&a_{mn}\\end{pmatrix}<\/code>\uff0c\u5219<code class=\"katex-inline\">kA=\\begin{pmatrix}ka_{11}&ka_{12}&\\cdots&ka_{1n}\\\\ka_{21}&ka_{22}&\\cdots&ka_{2n}\\\\ \\vdots&\\vdots&&\\vdots\\\\ka_{m1}&ka_{m2}&\\cdots&ka_{mn}\\end{pmatrix}<\/code><\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E7%9F%A9%E9%98%B5%E4%B8%8E%E7%9F%A9%E9%98%B5%E7%9A%84%E4%B9%98%E6%B3%95\"><\/span>\u77e9\u9635\u4e0e\u77e9\u9635\u7684\u4e58\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><code class=\"katex-inline\">A=\\begin{pmatrix}a_{11}&a_{12}&\\cdots&a_{1n}\\\\a_{21}&a_{22}&\\cdots&a_{2n}\\\\ \\vdots&\\vdots&&\\vdots\\\\a_{m1}&a_{m2}&\\cdots&a_{mn}\\end{pmatrix}<\/code>\uff0c<code class=\"katex-inline\">B=\\begin{pmatrix}b_{11}&b_{12}&\\cdots&b_{1s}\\\\b_{21}&b_{22}&\\cdots&b_{2s}\\\\ \\vdots&\\vdots&&\\vdots\\\\b_{n1}&b_{n2}&\\cdots&b_{ns}\\end{pmatrix}<\/code>\uff0c\u5219<code class=\"katex-inline\">AB=\\begin{pmatrix}c_{11}&c_{12}&\\cdots&c_{1n}\\\\c_{21}&c_{22}&\\cdots&c_{2n}\\\\ \\vdots&\\vdots&&\\vdots\\\\c_{m1}&c_{m2}&\\cdots&c_{mn}\\end{pmatrix}<\/code><br \/>\n\u5176\u4e2d<code class=\"katex-inline\">C_{ij}=a_{i1}b_{1j}+a_{i2}b_{2J}+\\cdots+a_{in}b_{nj}\uff0c\uff08i=1\u30012\u3001\\cdots\u3001m\uff0cj=1\u30012\u3001\\cdots\u3001s\uff09<\/code><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E6%80%A7%E8%B4%A8\"><\/span>\u6027\u8d28<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u53c2\u8003\uff1a<a href=\"https:\/\/blog.iyatt.com\/?p=8284\">https:\/\/blog.iyatt.com\/?p=8284<\/a><\/p>\n<h1><span class=\"ez-toc-section\" id=\"%E7%89%B9%E6%AE%8A\"><\/span>\u7279\u6b8a<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<h2><span class=\"ez-toc-section\" id=\"%E4%BA%8C%E9%98%B6%E7%9F%A9%E9%98%B5%E7%9A%84%E4%BC%B4%E9%9A%8F%E7%9F%A9%E9%98%B5\"><\/span>\u4e8c\u9636\u77e9\u9635\u7684\u4f34\u968f\u77e9\u9635<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<pre><code class=\"language-katex\">\\begin{array}{l}\nA=\n\\begin{pmatrix}\na&amp;b\\\\\nc&amp;d\n\\end{pmatrix}\n\\\\\\\\\nA^*=\n\\begin{pmatrix}\nd&amp;-b\\\\\n-c&amp;a\n\\end{pmatrix}\n\\end{array}<\/code><\/pre>\n<h2><span class=\"ez-toc-section\" id=\"%E4%BC%B4%E9%9A%8F%E7%9F%A9%E9%98%B5%E7%9A%84%E7%A7%A9%E5%92%8C%E5%8E%9F%E6%96%B9%E9%98%B5%E7%9A%84%E7%A7%A9%E7%9A%84%E5%85%B3%E7%B3%BB\"><\/span>\u4f34\u968f\u77e9\u9635\u7684\u79e9\u548c\u539f\u65b9\u9635\u7684\u79e9\u7684\u5173\u7cfb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5bf9\u4e8e n \u9636\u65b9\u9635 A<\/p>\n<pre><code class=\"language-katex\">r(A^*)=\n\\begin{cases}\nn\uff0cr(A)=n\uff0c\\\\\n1\uff0cr(A)=n-1\uff0c\\\\\n0\uff0cr(A)\\lt n-1\n\\end{cases}<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>\u57fa\u7840\u6982\u5ff5 \u77e9\u9635 \u5f62\u5982A=\\begin{pmatrix}a_{11}&#038;a_{12}&#038;\\cdots&#038;a_{1n}\\ [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"zakra_page_container_layout":"customizer","zakra_page_sidebar_layout":"customizer","zakra_remove_content_margin":false,"zakra_sidebar":"customizer","zakra_transparent_header":"customizer","zakra_logo":0,"zakra_main_header_style":"default","zakra_menu_item_color":"","zakra_menu_item_hover_color":"","zakra_menu_item_active_color":"","zakra_menu_active_style":"","zakra_page_header":true,"_lmt_disableupdate":"no","_lmt_disable":"no","footnotes":""},"categories":[1,612],"tags":[1692,1688,1701,1652,1700,1699,1693,1689,1698,1694,1697,661,1690,1695,1691,1696],"class_list":{"0":"post-21629","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"hentry","6":"category-all","7":"category-612","8":"tag-n-","10":"tag-1701","11":"tag-1652","12":"tag-1700","13":"tag-1699","14":"tag-1693","15":"tag-1689","16":"tag-1698","17":"tag-1694","18":"tag-1697","19":"tag-661","20":"tag-1690","21":"tag-1695","22":"tag-1691","23":"tag-1696"},"modified_by":"IYATT-yx","_links":{"self":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/21629","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=21629"}],"version-history":[{"count":13,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/21629\/revisions"}],"predecessor-version":[{"id":21950,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/21629\/revisions\/21950"}],"wp:attachment":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=21629"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=21629"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=21629"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}