{"id":21951,"date":"2025-10-01T22:57:30","date_gmt":"2025-10-01T14:57:30","guid":{"rendered":"https:\/\/blog.iyatt.com\/?p=21951"},"modified":"2025-10-01T23:51:26","modified_gmt":"2025-10-01T15:51:26","slug":"%e9%80%86%e7%9f%a9%e9%98%b5%e7%9a%84%e6%b1%82%e6%b3%95","status":"publish","type":"post","link":"https:\/\/blog.iyatt.com\/?p=21951","title":{"rendered":"\u9006\u77e9\u9635\u7684\u6c42\u6cd5"},"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=21951\/#%E4%BC%B4%E9%9A%8F%E7%9F%A9%E9%98%B5%E6%B3%95\" >\u4f34\u968f\u77e9\u9635\u6cd5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/blog.iyatt.com\/?p=21951\/#%E6%9C%89%E9%99%90%E6%AC%A1%E5%88%9D%E7%AD%89%E5%8F%98%E6%8D%A2\" >\u6709\u9650\u6b21\u521d\u7b49\u53d8\u6362<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/blog.iyatt.com\/?p=21951\/#%E5%88%9D%E7%AD%89%E7%9F%A9%E9%98%B5\" >\u521d\u7b49\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=21951\/#%E6%9C%89%E9%99%90%E6%AC%A1%E5%88%9D%E7%AD%89%E5%8F%98%E6%8D%A2-2\" >\u6709\u9650\u6b21\u521d\u7b49\u53d8\u6362<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h1><span class=\"ez-toc-section\" id=\"%E4%BC%B4%E9%9A%8F%E7%9F%A9%E9%98%B5%E6%B3%95\"><\/span>\u4f34\u968f\u77e9\u9635\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<pre><code class=\"language-katex\">A^{-1}=\\frac1{|A|}A^*<\/code><\/pre>\n<p>\u77e9\u9635 A \u5b58\u5728\u9006\u77e9\u9635\u7684\u5145\u5206\u5fc5\u8981\u6761\u4ef6\u662f <code class=\"katex-inline\">|A|\\ne0<\/code><\/p>\n<h1><span class=\"ez-toc-section\" id=\"%E6%9C%89%E9%99%90%E6%AC%A1%E5%88%9D%E7%AD%89%E5%8F%98%E6%8D%A2\"><\/span>\u6709\u9650\u6b21\u521d\u7b49\u53d8\u6362<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<h2><span class=\"ez-toc-section\" id=\"%E5%88%9D%E7%AD%89%E7%9F%A9%E9%98%B5\"><\/span>\u521d\u7b49\u77e9\u9635<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u53c2\u8003\uff1a<a href=\"https:\/\/blog.iyatt.com\/?p=21647#%E5%88%9D%E7%AD%89%E7%9F%A9%E9%98%B5%E7%9A%84%E9%80%86%E7%9F%A9%E9%98%B5\">https:\/\/blog.iyatt.com\/?p=21647#%E5%88%9D%E7%AD%89%E7%9F%A9%E9%98%B5%E7%9A%84%E9%80%86%E7%9F%A9%E9%98%B5<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E6%9C%89%E9%99%90%E6%AC%A1%E5%88%9D%E7%AD%89%E5%8F%98%E6%8D%A2-2\"><\/span>\u6709\u9650\u6b21\u521d\u7b49\u53d8\u6362<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A \u662f\u4e00\u4e2a n \u9636\u77e9\u9635\uff0c\u53ef\u4ee5\u5728\u53f3\u4fa7\uff08\u6216\u4e0b\u65b9\uff09\u62fc\u63a5\u4e00\u4e2a\u540c\u578b\u5355\u4f4d\u77e9\u9635\uff0c\u5f97\u5230\u4e00\u4e2a\u589e\u5e7f\u77e9\u9635\uff0c\u5bf9\u589e\u5e7f\u77e9\u9635\u8fdb\u884c\u6709\u9650\u6b21\u521d\u7b49\u884c\u53d8\u6362\uff08\u6216\u5217\u53d8\u6362\uff09\uff0c\u5f53\u539f A \u77e9\u9635\u6240\u5728\u7684\u884c\u5217\u7ec4\u6210\u7684\u77e9\u9635\u53d8\u6362\u6210\u5355\u4f4d\u77e9\u9635\u65f6\uff0c\u539f\u5355\u4f4d\u77e9\u9635\u6240\u5728\u7684\u884c\u5217\u7ec4\u6210\u7684\u77e9\u9635\u5c31\u662f A \u7684\u9006\u77e9\u9635<\/p>\n<p>\u6bd4\u5982\u6c42<code class=\"katex-inline\">A=\\begin{pmatrix}1&2\\\\2&5\\end{pmatrix}<\/code>\u7684\u9006\u77e9\u9635\uff1a<br \/>\n\u2460\u884c\u53d8\u6362<\/p>\n<pre><code class=\"language-katex\">\\begin{array}{l}\n\n\\begin{aligned}\n\\begin{pmatrix}\nA|E\n\\end{pmatrix}\n&amp;=\n\n\\begin{pmatrix}\n1 &amp; 2 &amp; | &amp; 1 &amp; 0\\\\\n2&amp;5&amp;|&amp; 0&amp;1\\\\\n\\end{pmatrix}\\\\\n&amp;\\rightarrow\n\n\\begin{pmatrix}\n1&amp;2&amp;|&amp;1&amp;0\\\\\n0&amp;1&amp;|&amp;-2&amp;1\n\\end{pmatrix}\\\\\n&amp;\\rightarrow\n\n\\begin{pmatrix}\n1&amp;0&amp;|&amp;5&amp;-2\\\\\n0&amp;1&amp;|&amp;-2&amp;1\n\\end{pmatrix}\n=\n\n\\begin{pmatrix}\nE|A^{-1}\n\\end{pmatrix}\n\\end{aligned}\\\\\n\n\u5373A^{-1}=\n\\begin{pmatrix}\n5&amp;-2\\\\\n-2&amp;1\n\\end{pmatrix}\n\\end{array}<\/code><\/pre>\n<p>\u2461\u5217\u53d8\u6362<\/p>\n<pre><code class=\"language-katex\">\\begin{array}{l}\n\n\\begin{aligned}\n\\begin{pmatrix}\nA\\\\\n-\\\\\nE\n\\end{pmatrix}\n&amp;=\n\n\\begin{pmatrix}\n1 &amp; 2\\\\\n2&amp;5\\\\\n-&amp;-\\\\\n1&amp;0\\\\\n0&amp;1\n\\end{pmatrix}\\\\\n&amp;\\rightarrow\n\n\\begin{pmatrix}\n1&amp;0\\\\\n2&amp;1\\\\\n-&amp;-\\\\\n1&amp;-2\\\\\n0&amp;1\n\\end{pmatrix}\\\\\n&amp;\\rightarrow\n\n\\begin{pmatrix}\n1&amp;0\\\\\n0&amp;1\\\\\n-&amp;-\\\\\n5&amp;-2\\\\\n-2&amp;1\n\\end{pmatrix}\n=\n\n\\begin{pmatrix}\nE\\\\\n-\\\\\nA^{-1}\n\\end{pmatrix}\n\\end{aligned}\\\\\n\n\u5373A^{-1}=\n\\begin{pmatrix}\n5&amp;-2\\\\\n-2&amp;1\n\\end{pmatrix}\n\\end{array}<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>\u4f34\u968f\u77e9\u9635\u6cd5 A^{-1}=\\frac1{|A|}A^* \u77e9\u9635 A \u5b58\u5728\u9006\u77e9\u9635\u7684\u5145\u5206\u5fc5\u8981\u6761\u4ef6\u662f |A|\\ne0  [&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],"tags":[],"class_list":["post-21951","post","type-post","status-publish","format-standard","hentry","category-all"],"modified_by":"IYATT-yx","_links":{"self":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/21951","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=21951"}],"version-history":[{"count":5,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/21951\/revisions"}],"predecessor-version":[{"id":21956,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/21951\/revisions\/21956"}],"wp:attachment":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=21951"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=21951"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=21951"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}