{"id":66,"date":"2023-09-17T05:59:45","date_gmt":"2023-09-17T05:59:45","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e9%80%86%e7%9f%a9%e9%98%b5\/"},"modified":"2023-09-17T05:59:45","modified_gmt":"2023-09-17T05:59:45","slug":"%e9%80%86%e7%9f%a9%e9%98%b5","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e9%80%86%e7%9f%a9%e9%98%b5\/","title":{"rendered":"\u5982\u4f55\u8ba1\u7b97\u9006\u77e9\u9635"},"content":{"rendered":"<p>\u5728\u672c\u9875\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3\u5b83\u662f\u4ec0\u4e48\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u884c\u5217\u5f0f\uff08\u6216\u4f34\u968f\u77e9\u9635\uff09\u65b9\u6cd5\u548c\u9ad8\u65af\u65b9\u6cd5\u8ba1\u7b97\u77e9\u9635\u7684\u9006\u3002\u60a8\u8fd8\u5c06\u770b\u5230\u9006\u77e9\u9635\u7684\u6240\u6709\u5c5e\u6027\uff0c\u5e76\u4e14\u8fd8\u5c06\u627e\u5230\u6bcf\u79cd\u65b9\u6cd5\u7684\u9010\u6b65\u6c42\u89e3\u793a\u4f8b\u548c\u7ec3\u4e60\uff0c\u4ee5\u4fbf\u60a8\u5b8c\u5168\u7406\u89e3\u5b83\u4eec\u3002\u6700\u540e\uff0c\u6211\u4eec\u89e3\u91ca\u4e86\u4e00\u4e2a\u5feb\u901f\u6c42\u9006 2&#215;2 \u77e9\u9635\u7684\u516c\u5f0f\uff0c\u751a\u81f3\u89e3\u91ca\u4e86\u8be5\u77e9\u9635\u8fd0\u7b97\u7684\u6700\u5927\u7528\u9014\uff1a\u6c42\u89e3\u7ebf\u6027\u65b9\u7a0b\u7ec4\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u4ec0\u4e48\u662f\u77e9\u9635\u7684\u9006\u77e9\u9635\uff1f <\/h2>\n<div style=\"background-color:#dff6ff;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px\" class=\"has-background\">\n<p align=\"LEFT\">\u662f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u65b9\u9635\u3002\u7684<strong>\u9006\u77e9\u9635<\/strong><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5199\u7740<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e2b32875906f7ed9c10ffd1b09a6ed5e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"30\" style=\"vertical-align: 0px;\"><\/p>\n<p>\uff0c\u8fd9\u4e2a\u77e9\u9635\u6ee1\u8db3\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fd42c364eee57f5eada44b8ef06f254a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A \\cdot A^{-1} = I\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"90\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a003e1fd3042f8cd7ec7d3fe7f286f5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{-1}\\cdot A  = I\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"90\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p align=\"LEFT\">\u91d1\u5b50<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-18b5e45cb4a1ee02e81b9a980f828db8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"I\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u5355\u4f4d\u77e9\u9635\u3002<\/p>\n<\/div>\n<h2 class=\"wp-block-heading\">\u4ec0\u4e48\u65f6\u5019\u53ef\u4ee5\u5bf9\u77e9\u9635\u6c42\u9006\uff0c\u4ec0\u4e48\u65f6\u5019\u4e0d\u80fd\uff1f<\/h2>\n<p>\u786e\u5b9a\u77e9\u9635\u53ef\u9006\u6027\u7684\u6700\u7b80\u5355\u65b9\u6cd5\u662f\u4f7f\u7528\u5176\u884c\u5217\u5f0f\uff1a<\/p>\n<ul>\n<li>\u5982\u679c\u6240\u8ba8\u8bba\u7684\u77e9\u9635\u7684\u884c\u5217\u5f0f\u4e0d\u4e3a0\uff0c\u5219\u610f\u5473\u7740\u8be5\u77e9\u9635\u662f\u53ef\u9006\u7684\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u8bf4\u5b83\u662f\u4e00\u4e2a\u6b63\u5219\u77e9\u9635\u3002\u6b64\u5916\uff0c\u8fd9\u610f\u5473\u7740\u8be5\u77e9\u9635\u5177\u6709\u6700\u5927\u79e9\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u53e6\u4e00\u65b9\u9762\uff0c\u5982\u679c\u77e9\u9635\u7684\u884c\u5217\u5f0f\u7b49\u4e8e0\uff0c\u5219\u77e9\u9635\u65e0\u6cd5\u6c42\u9006\u3002\u5e76\u4e14\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u8bf4\u5b83\u662f\u5947\u5f02\u77e9\u9635\u6216\u7b80\u5e76\u77e9\u9635\u3002<\/li>\n<\/ul>\n<p>\u4e3b\u8981\u6709\u4e24\u79cd\u6c42\u9006\u77e9\u9635\u7684\u65b9\u6cd5\uff1a\u884c\u5217\u5f0f\u6216\u4f34\u968f\u77e9\u9635\u65b9\u6cd5\u548c\u9ad8\u65af\u65b9\u6cd5\u3002\u4e0b\u9762\u662f\u7b2c\u4e00\u4e2a\u7684\u89e3\u91ca\uff0c\u4f46\u60a8\u4e5f\u53ef\u4ee5\u53c2\u8003\u4e0b\u9762\u5982\u4f55\u4f7f\u7528\u9ad8\u65af\u65b9\u6cd5\u6c42\u9006\u77e9\u9635\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u4f7f\u7528\u884c\u5217\u5f0f\u65b9\u6cd5\uff08\u6216\u4f7f\u7528\u90bb\u63a5\u77e9\u9635\uff09\u5bf9\u77e9\u9635\u6c42\u9006<\/h2>\n<div style=\"background-color:#dff6ff;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px\" class=\"has-background\">\n<p align=\"LEFT\">\u8981\u8ba1\u7b97<strong>\u77e9\u9635\u7684\u9006<\/strong>\uff0c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3017946e4911f6188e04dfdca6f050ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"30\" style=\"vertical-align: 0px;\"><\/p>\n<p> \uff0c\u5fc5\u987b\u5e94\u7528\u4ee5\u4e0b\u516c\u5f0f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p align=\"LEFT\" style=\"margin-bottom:8px\">\u91d1\u5b50\uff1a<\/p>\n<ul>\n<li style=\"margin-bottom:12px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a80d0312d139244060532c8c78fe6140_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} A \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"21\" style=\"vertical-align: -7px;\"><\/p>\n<p>\u662f\u77e9\u9635\u7684\u884c\u5217\u5f0f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:12px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e87ef954487ce9371eac7dc25f234613_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adj}(A)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"55\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u7684\u4f34\u968f\u77e9\u9635<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<li>\u53c2\u5c55\u5546\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-50d6971192a73f12b183dbddd7c75197_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{t}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u8868\u793a\u77e9\u9635\u8f6c\u7f6e\uff0c\u5373\u9644\u52a0\u77e9\u9635\u5e94\u8be5\u8f6c\u7f6e\u3002<\/li>\n<\/ul>\n<\/div>\n<p><strong>\u70b9\u8bc4\uff1a<\/strong>\u6709\u4e9b\u4e66\u4f7f\u7528\u4e86\u7a0d\u5fae\u4e0d\u540c\u7684\u9006\u77e9\u9635\u516c\u5f0f\uff1a\u4ed6\u4eec\u9996\u5148\u8f6c\u7f6e\u77e9\u9635A\uff0c\u7136\u540e\u8ba1\u7b97\u5176\u4f34\u968f\u77e9\u9635\uff0c\u800c\u4e0d\u662f\u5148\u8ba1\u7b97\u4f34\u968f\u77e9\u9635\u7136\u540e\u8f6c\u7f6e\u5b83\u3002\u5b9e\u9645\u4e0a\uff0c\u987a\u5e8f\u5e76\u4e0d\u91cd\u8981\uff0c\u56e0\u4e3a\u7ed3\u679c\u5b8c\u5168\u76f8\u540c\u3002\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u4e3a\u60a8\u7559\u4e0b\u4e86\u5bf9\u4fee\u6539\u540e\u7684\u77e9\u9635\u6c42\u9006\u7684\u516c\u5f0f\uff0c\u4ee5\u9632\u60a8\u66f4\u559c\u6b22\u4f7f\u7528\u8fd9\u4e2a\u516c\u5f0f\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-la-matrice-inverse-adjointe-de-transposee-3.webp\" alt=\"\u5177\u6709\u8f6c\u7f6e\u4f34\u968f\u77e9\u9635\u7684\u9006\u77e9\u9635\u516c\u5f0f\" class=\"wp-image-4372\" width=\"238\" height=\"239\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u7136\u540e\u6211\u4eec\u5c06\u901a\u8fc7\u89e3\u51b3\u4e00\u4e2a\u7ec3\u4e60\u4e3a\u4f8b\u6765\u4e86\u89e3<strong>\u5982\u4f55\u627e\u5230\u77e9\u9635\u7684\u9006<\/strong>\uff1a<\/p>\n<h3 class=\"wp-block-heading\">\u4f7f\u7528\u884c\u5217\u5f0f\u65b9\u6cd5\uff08\u6216\u4f34\u968f\u77e9\u9635\uff09\u8ba1\u7b97\u9006\u77e9\u9635\u7684\u793a\u4f8b\uff1a<\/h3>\n<ul>\n<li>\u8ba1\u7b97\u4ee5\u4e0b\u77e9\u9635\u7684\u9006\u77e9\u9635\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c37ec4a7afd5b313bcf3c50d6ce26c6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A = \\begin{pmatrix} 4 &amp; -2  \\\\[1.1ex] 3 &amp; -1  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"109\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4e3a\u4e86\u786e\u5b9a\u77e9\u9635\u7684\u9006\uff0c\u6211\u4eec\u5fc5\u987b\u5e94\u7528\u4ee5\u4e0b\u516c\u5f0f\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-la-matrice-inverse-avec-la-methode-par-determinants-ou-par-la-matrice-adjointe.webp\" alt=\"\u7528\u884c\u5217\u5f0f\u6216\u4f34\u968f\u77e9\u9635\u7684\u65b9\u6cd5\u6c42\u9006\u77e9\u9635\u7684\u516c\u5f0f\" width=\"218\" height=\"59\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u4f46\u5982\u679c\u77e9\u9635\u7684\u884c\u5217\u5f0f\u4e3a\u96f6\uff0c\u5219\u610f\u5473\u7740\u8be5\u77e9\u9635\u4e0d\u53ef\u9006\u3002\u56e0\u6b64\uff0c\u9996\u5148\u8981\u505a\u7684\u662f\u8ba1\u7b97\u77e9\u9635\u7684\u884c\u5217\u5f0f\u5e76\u68c0\u67e5\u5b83\u662f\u5426\u4e0d\u7b49\u4e8e 0\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-710ccd4e4912dd492b496a742eaf7f56_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\lvert A \\rvert  = \\begin{vmatrix}  4 &amp; -2  \\\\[1.1ex] 3 &amp; -1 \\end{vmatrix} = -4- (-6) = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"240\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p><strong>\u884c\u5217\u5f0f\u4e0d\u4e3a0<\/strong> \uff0c\u56e0\u6b64<strong>\u77e9\u9635\u53ef\u9006<\/strong>\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u5c06\u884c\u5217\u5f0f\u7684\u503c\u4ee3\u5165\u516c\u5f0f\uff0c\u5219\u77e9\u9635\u7684\u9006\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9be7ff27e83825750fc7b378f743412f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{2} \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"161\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u73b0\u5728\u5fc5\u987b\u8ba1\u7b97 A \u7684\u526f\u77e9\u9635\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u7528\u5176\u526f\u77e9\u9635\u66ff\u6362\u77e9\u9635 A \u7684\u6bcf\u4e2a\u5143\u7d20\u3002 <\/p>\n<div style=\"background-color:#fffde7;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px\" class=\"has-background\">\n<p align=\"LEFT\">\u8bf7\u8bb0\u4f4f\uff0c\u8981\u8ba1\u7b97<strong>\u9644\u4ef6<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41d4a89db3722950dc94351832a1bcd9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_{ij}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"20\" style=\"vertical-align: -6px;\"><\/p>\n<p>\uff0c\u4e5f\u5c31\u662f\u8bf4\u884c\u5143\u7d20<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-695d9d59bd04859c6c99e7feb11daab6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u548c\u4e13\u680f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-43c82d5bb00a7568d935a12e3bd969dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"j\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p>\uff0c\u5fc5\u987b\u5e94\u7528\u4ee5\u4e0b\u516c\u5f0f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dcce4b79a3549da03df7c78b678add31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de } a_{ij} = (-1)^{i+j} \\bm{\\cdot} \\text{Menor complementario de } a_{ij}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"430\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p align=\"LEFT\">\u5176\u4e2d\u8865\u4f59\u5c0f\u6570\u4e3a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41d4a89db3722950dc94351832a1bcd9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a_{ij}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"20\" style=\"vertical-align: -6px;\"><\/p>\n<p>\u662f\u6d88\u9664\u884c\u7684\u77e9\u9635\u7684\u884c\u5217\u5f0f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-695d9d59bd04859c6c99e7feb11daab6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u548c\u4e13\u680f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-43c82d5bb00a7568d935a12e3bd969dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"j\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u3002<\/p>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u77e9\u9635 A \u7684\u5143\u7d20\u4ee3\u8868\u4e3a\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c37ec4a7afd5b313bcf3c50d6ce26c6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A = \\begin{pmatrix} 4 &amp; -2  \\\\[1.1ex] 3 &amp; -1  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"109\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-981d47faf70cc1377c1abb515419a881_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 4} =\\displaystyle (-1)^{1+1} \\bm{\\cdot} \\begin{vmatrix} -1 \\end{vmatrix} = 1 \\cdot (-1) = \\bm{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"357\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0f1e6a5a5c504b3b6d06e5d3d8e0862e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de -2} =\\displaystyle (-1)^{1+2} \\bm{\\cdot} \\begin{vmatrix} 3 \\end{vmatrix} = -1 \\cdot 3 = \\bm{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"336\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02a2bf190ba8788264d0326f38cb0a21_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 3}  =\\displaystyle (-1)^{2+1} \\bm{\\cdot} \\begin{vmatrix} -2 \\end{vmatrix} = -1 \\cdot (-2) = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"357\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f01b7eb06a25b50bf15fbfd08e68cd13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de -1} =\\displaystyle (-1)^{2+2} \\bm{\\cdot} \\begin{vmatrix} 4 \\end{vmatrix} = 1 \\cdot 4 = \\bm{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"309\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p><strong>\u6ce8\u91ca\uff1a<\/strong>\u4e0d\u8981\u5c06\u884c\u5217\u5f0f 1\u00d71 \u4e0e\u7edd\u5bf9\u503c\u6df7\u6dc6\uff0c\u56e0\u4e3a\u5728\u884c\u5217\u5f0f 1\u00d71 \u4e2d\uff0c\u6570\u5b57\u4e0d\u4f1a\u8f6c\u6362\u4e3a\u6b63\u6570\u3002<\/p>\n<p>\u8ba1\u7b97\u51fa\u4ee3\u8868\u4eba\u6570\u540e\uff0c\u53ea\u9700\u5c06 A \u7684\u5143\u7d20\u66ff\u6362\u4e3a\u5176\u4ee3\u8868\u5373\u53ef\u627e\u5230<strong>A \u7684\u4ee3\u8868\u77e9\u9635<\/strong>\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-08fb7666b4518399c2a469ba445762be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\displaystyle \\text{Adj}(A) = \\begin{pmatrix} -1 &amp; -3  \\\\[1.1ex] 2 &amp; 4  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"165\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p><strong>\u6ce8\u91ca\uff1a<\/strong>\u5728\u67d0\u4e9b\u5730\u65b9\uff0c\u4f34\u968f\u77e9\u9635\u662f\u6211\u4eec\u8fd9\u91cc\u5b9a\u4e49\u7684\u4f34\u968f\u77e9\u9635\u7684\u8f6c\u7f6e\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u6240\u9644\u77e9\u9635\u4ee3\u5165\u9006\u77e9\u9635\u516c\u5f0f\uff0c\u5219\u53d8\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9be7ff27e83825750fc7b378f743412f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{2} \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"161\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0abb4127db9c3c1d0a7b669fbc782605_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{2} \\cdot \\begin{pmatrix} -1 &amp; -3  \\\\[1.1ex] 2 &amp; 4  \\end{pmatrix} ^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"173\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u53c2\u5c55\u5546<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-50d6971192a73f12b183dbddd7c75197_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{t}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u8fd9\u544a\u8bc9\u6211\u4eec\u9700\u8981<strong>\u8f6c\u7f6e\u77e9\u9635<\/strong>\u3002\u8981\u8f6c\u7f6e\u77e9\u9635\uff0c\u5fc5\u987b\u5c06<strong>\u5176\u884c\u66f4\u6539\u4e3a\u5217<\/strong>\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u77e9\u9635\u7684\u7b2c\u4e00\u884c\u53d8\u4e3a\u77e9\u9635\u7684\u7b2c\u4e00\u5217\uff0c\u7b2c\u4e8c\u884c\u53d8\u4e3a\u7b2c\u4e8c\u5217\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-22965912cf8aee99610c81cf575c0ecd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{2} \\cdot \\begin{pmatrix} -1 &amp; 2  \\\\[1.1ex] -3 &amp; 4  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"151\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5c06\u77e9\u9635\u7684\u6bcf\u4e00\u9879\u4e58\u4ee5<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a7c03ba828b3d8aef58199ac2c95a47_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{1}{2} :\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"18\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-220748840151b429919c7ce6587b1bc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\begin{pmatrix} \\sfrac{-1}{2} &amp; \\sfrac{2}{2}  \\\\[1.1ex] \\sfrac{-3}{2} &amp; \\sfrac{4}{2}  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"145\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/matrice-inverse-de-lexercice-resolu-par-les-determinants-22152.webp\" alt=\"\u7ec3\u4e60\u901a\u8fc7 2x2 \u884c\u5217\u5f0f\u6c42\u89e3\u9006\u77e9\u9635\" width=\"188\" height=\"69\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\">\u7528\u884c\u5217\u5f0f\uff08\u6216\u90bb\u63a5\u77e9\u9635\uff09\u65b9\u6cd5\u89e3\u51b3\u9006\u77e9\u9635\u7684\u7ec3\u4e60<\/h3>\n<h4 class=\"wp-block-heading\">\u7ec3\u4e601<\/h4>\n<p>\u4f7f\u7528\u4f34\u968f\u77e9\u9635\u65b9\u6cd5\u5bf9\u4ee5\u4e0b 2\u00d72 \u7ef4\u77e9\u9635\u6c42\u9006\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bfb0807249e78845b375a402eb23a32b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; 3 \\\\[1.1ex] 2 &amp; 7  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u9006\u77e9\u9635\u516c\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u77e9\u9635\u7684\u884c\u5217\u5f0f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1c4e3bac90eb0da0361b4be1a2225146_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}A\\end{vmatrix}=\\begin{vmatrix} 1 &amp; 3 \\\\[1.1ex] 2 &amp; 7 \\end{vmatrix} = 7-6 = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"187\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u884c\u5217\u5f0f\u4e0d\u7b49\u4e8e0\uff0c\u56e0\u6b64\u53ef\u4ee5\u5bf9\u77e9\u9635\u6c42\u9006\u3002<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u8ba9\u6211\u4eec\u8ba1\u7b97 A \u7684\u4f34\u968f\u77e9\u9635\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-34ac8739bfee66d594eee01b7a2b9205_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 1} =\\displaystyle (-1)^{1+1} \\bm{\\cdot} \\begin{vmatrix} 7 \\end{vmatrix} = 1 \\cdot 7 = \\bm{7}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"303\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4021288fe5f1db07d81dbb43ce15e82a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 3} =\\displaystyle (-1)^{1+2} \\bm{\\cdot} \\begin{vmatrix} 2\\end{vmatrix} = -1 \\cdot 2 = \\bm{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"329\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-12783f7673a347fc5e0df04917332fa0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 2}  =\\displaystyle (-1)^{2+1} \\bm{\\cdot} \\begin{vmatrix} 3 \\end{vmatrix} = -1 \\cdot 3 = \\bm{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"330\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8d48d00b2e8df51348f8f41c96b9197b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 7} =\\displaystyle (-1)^{2+2} \\bm{\\cdot} \\begin{vmatrix} 1 \\end{vmatrix} = 1 \\cdot 1 = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"302\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3dea8fca2c025ff9b7d7673904344996_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\displaystyle \\text{Adj}(A) = \\begin{pmatrix} 7 &amp; -2  \\\\[1.1ex] -3 &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"165\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u8ba1\u7b97\u51fa\u77e9\u9635\u7684\u884c\u5217\u5f0f\u53ca\u5176\u4f34\u968f\u77e9\u9635\uff0c\u6211\u4eec\u5c06\u5b83\u4eec\u7684\u503c\u4ee3\u5165\u4ee5\u4e0b\u516c\u5f0f\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9475e4162eff7e1ed9c08f363a8279ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{1} \\cdot \\begin{pmatrix} 7 &amp; -2 \\\\[1.1ex] -3 &amp; 1 \\end{pmatrix}^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"173\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u8f6c\u7f6e\u9644\u52a0\u77e9\u9635\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a5a6aaa8168e55c6eab1e3be1229a3da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = 1 \\cdot \\begin{pmatrix} 7 &amp; -3 \\\\[1.1ex] -2 &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"162\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64 A \u7684\u9006\u77e9\u9635\u4e3a\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1236ad7262705dbbd9b0a094084ceac5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{A^{-1} =} \\begin{pmatrix} \\bm{7} &amp; \\bm{-3} \\\\[1.1ex] \\bm{-2} &amp; \\bm{1} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"139\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h4 class=\"wp-block-heading\">\u7ec3\u4e602<\/h4>\n<p>\u4f7f\u7528\u884c\u5217\u5f0f\u65b9\u6cd5\u5bf9\u4ee5\u4e0b\u65b9\u9635\u6c42\u9006\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb735917d200ed35918cd44be6bd155b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} -3 &amp; -2 \\\\[1.1ex] 5 &amp; 4  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"122\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u9006\u77e9\u9635\u516c\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u77e9\u9635\u7684\u884c\u5217\u5f0f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-49cd3daf7c50c811e78c29efe036bda4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}A\\end{vmatrix}=\\begin{vmatrix} -3 &amp; -2 \\\\[1.1ex] 5 &amp; 4\\end{vmatrix} = -12+10 = -2\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"260\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u884c\u5217\u5f0f\u4e0d\u7b49\u4e8e0\uff0c\u56e0\u6b64\u53ef\u4ee5\u5bf9\u77e9\u9635\u6c42\u9006\u3002<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u8ba9\u6211\u4eec\u8ba1\u7b97 A \u7684\u4f34\u968f\u77e9\u9635\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8bff9fecfd83ca1edacba562d8714cbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de -3} =\\displaystyle (-1)^{1+1} \\bm{\\cdot} \\begin{vmatrix} 4 \\end{vmatrix} = 1 \\cdot 4 = \\bm{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"309\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b558b2d47ccf4b3065ed8b26ab620502_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de -2} =\\displaystyle (-1)^{1+2} \\bm{\\cdot} \\begin{vmatrix} 5\\end{vmatrix} = -1 \\cdot 5 = \\bm{-5}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"335\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b6d0a26085435c08c6d60ab80f4fbb2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 5}  =\\displaystyle (-1)^{2+1} \\bm{\\cdot} \\begin{vmatrix} -2 \\end{vmatrix} = -1 \\cdot (-2) = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"357\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-79a60c5e3003ea311503867a147c1500_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 4} =\\displaystyle (-1)^{2+2} \\bm{\\cdot} \\begin{vmatrix} -3 \\end{vmatrix} = 1 \\cdot (-3) = \\bm{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"358\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-208ab7161076485ca6928bd1208f6714_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\displaystyle \\text{Adj}(A) = \\begin{pmatrix} 4 &amp; -5  \\\\[1.1ex] 2 &amp; -3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"151\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u627e\u5230\u77e9\u9635\u7684\u884c\u5217\u5f0f\u53ca\u5176\u4f34\u968f\u77e9\u9635\uff0c\u6211\u4eec\u5c06\u5b83\u4eec\u7684\u503c\u4ee3\u5165\u516c\u5f0f\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-babecc87455bdc54006a77ba5369e540_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{-2} \\cdot \\begin{pmatrix} 4 &amp; -5 \\\\[1.1ex] 2 &amp; -3 \\end{pmatrix}^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"173\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u8f6c\u7f6e\u9644\u52a0\u77e9\u9635\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-17529597656a112a27d136ca212834d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{-2} \\cdot \\begin{pmatrix} 4 &amp; 2 \\\\[1.1ex] -5 &amp; -3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"178\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u5c06\u6bcf\u4e2a\u5143\u7d20\u4e58\u4ee5<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f70ecad488bad8503fe7f8427180e2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{1}{-2} :\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"32\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-be52d2df839244cbb0b0ee00c9e45265_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\begin{pmatrix} \\cfrac{4}{-2} &amp; \\cfrac{2}{-2} \\\\[3ex] \\cfrac{-5}{-2} &amp; \\cfrac{-3}{-2} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"163\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64 A \u7684\u9006\u77e9\u9635\u4e3a\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-13e218c7d075daba3f875345f324d001_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{A^{-1} =} \\begin{pmatrix} \\bm{-2} &amp; \\bm{-1} \\\\[2ex] \\cfrac{\\bm{5}}{\\bm{2}} &amp; \\cfrac{\\bm{3}}{\\bm{2}} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"76\" width=\"141\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h4 class=\"wp-block-heading\">\u7ec3\u4e603<\/h4>\n<p>\u4f7f\u7528\u4f34\u968f\u77e9\u9635\u65b9\u6cd5\u5bf9\u4ee5\u4e0b 3\u00d73 \u7ef4\u77e9\u9635\u6c42\u9006\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d1b6a5f638281754d80983b5a50e15be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}2&amp;3&amp;-2\\\\[1.1ex] 1&amp;4&amp;1\\\\[1.1ex] 2&amp;1&amp;-3\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"136\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u9006\u77e9\u9635\u516c\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u9996\u5148\u7528 Sarrus \u89c4\u5219\u6c42\u89e3\u77e9\u9635\u7684\u884c\u5217\u5f0f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fcac1cb3935b1000b6493a2866e8728a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}A\\end{vmatrix}=\\begin{vmatrix} 2&amp;3&amp;-2\\\\[1.1ex] 1&amp;4&amp;1\\\\[1.1ex] 2&amp;1&amp;-3 \\end{vmatrix} = -24+6-2+16-2+9 = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"381\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u884c\u5217\u5f0f\u4e0d\u7b49\u4e8e0\uff0c\u56e0\u6b64\u53ef\u4ee5\u5bf9\u77e9\u9635\u6c42\u9006\u3002<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u6c42\u89e3\u4e86\u884c\u5217\u5f0f\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u627e\u5230 A \u7684\u4f34\u968f\u77e9\u9635\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c510482ac77a8c5d511c095de600f1ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 2} = \\displaystyle (-1)^{1+1} \\bm{\\cdot} \\begin{vmatrix} 4&amp;1\\\\[1.1ex] 1&amp;-3 \\end{vmatrix} = 1 \\cdot (-13) = \\bm{-13}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"403\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fa99e03d34c925098c1ad3ed6f06c745_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 3} = \\displaystyle (-1)^{1+2} \\bm{\\cdot} \\begin{vmatrix}1&amp;1\\\\[1.1ex] 2&amp;-3\\end{vmatrix} = -1 \\cdot (-5) = \\bm{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"384\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3bf9f8565b3e4a99ff254c7558699c13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de -2}  = \\displaystyle (-1)^{1+3} \\bm{\\cdot} \\begin{vmatrix} 1&amp;4\\\\[1.1ex] 2&amp;1 \\end{vmatrix} = 1\\cdot (-7) = \\bm{-7}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-99e2c3f55fbba7b5faa014758b60f4a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 1} = \\displaystyle (-1)^{2+1} \\bm{\\cdot} \\begin{vmatrix} 3&amp;-2 \\\\[1.1ex] 1&amp;-3 \\end{vmatrix} = -1 \\cdot (-7) = \\bm{7}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"385\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-23326bccecf752508e7418cbbc8eacd3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 4} = \\displaystyle (-1)^{2+2} \\bm{\\cdot} \\begin{vmatrix} 2&amp;-2\\\\[1.1ex] 2&amp;-3 \\end{vmatrix} = 1 \\cdot (-2) = \\bm{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"384\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9d056af07ce26751783152a67cdedb6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 1} = \\displaystyle (-1)^{2+3} \\bm{\\cdot} \\begin{vmatrix} 2&amp;3\\\\[1.1ex] 2&amp;1\\end{vmatrix} = -1 \\cdot (-4) = \\bm{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"371\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bed501806c35c94e491ad2063b2d0653_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 2}  = \\displaystyle (-1)^{3+1} \\bm{\\cdot} \\begin{vmatrix} 3&amp;-2\\\\[1.1ex] 4&amp;1\\end{vmatrix} = 1 \\cdot 11 = \\bm{11}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"360\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3f108a61eec662b9420708f6920060be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de 1} = \\displaystyle (-1)^{3+2} \\bm{\\cdot} \\begin{vmatrix} 2&amp;-2\\\\[1.1ex] 1&amp;1\\end{vmatrix} = -1 \\cdot 4 = \\bm{-4}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"371\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-77a152a00dbb5f1e0f8702dd9511095a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Adjunto de -3} = \\displaystyle (-1)^{3+3} \\bm{\\cdot} \\begin{vmatrix} 2&amp;3\\\\[1.1ex] 1&amp;4 \\end{vmatrix} = 1 \\cdot 5 = \\bm{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"335\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b4642a75697fd30286065cdb4063a7bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\displaystyle \\text{Adj}(A) = \\begin{pmatrix} -13 &amp; 5 &amp; -7  \\\\[1.1ex] 7 &amp; -2 &amp; 4 \\\\[1.1ex] 11 &amp; -4 &amp; 5 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"215\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u6211\u4eec\u8ba1\u7b97\u4e86\u77e9\u9635\u7684\u884c\u5217\u5f0f\u53ca\u5176\u4f34\u968f\u7269\uff0c\u6211\u4eec\u5c06\u5b83\u4eec\u7684\u503c\u4ee3\u5165\u4ee5\u4e0b\u516c\u5f0f\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fae003a07d40b69690566cde77857c3a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{3} \\cdot \\begin{pmatrix} -13 &amp; 5 &amp; -7 \\\\[1.1ex] 7 &amp; -2 &amp; 4 \\\\[1.1ex] 11 &amp; -4 &amp; 5 \\end{pmatrix}^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"224\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u8f6c\u7f6e\u9644\u52a0\u77e9\u9635\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55717407766afe98f50ca75f20536edc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{3} \\cdot \\begin{pmatrix} -13 &amp; 7 &amp; 11 \\\\[1.1ex] 5 &amp; -2 &amp; -4 \\\\[1.1ex] -7 &amp; 4 &amp; 5 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"215\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5219\u9006\u77e9\u9635A\u4e3a\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9835713a5b791ee959d6571d706180f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{A^{-1} =} \\begin{pmatrix} \\sfrac{\\bm{-13}}{\\bm{3}} &amp; \\sfrac{\\bm{7}}{\\bm{3}} &amp; \\sfrac{\\bm{11}}{\\bm{3}} \\\\[1.1ex] \\sfrac{\\bm{5}}{\\bm{3}} &amp; \\sfrac{\\bm{-2}}{\\bm{3}} &amp; \\sfrac{\\bm{-4}}{\\bm{3}} \\\\[1.1ex] \\sfrac{\\bm{-7}}{\\bm{3}} &amp; \\sfrac{\\bm{4}}{\\bm{3}} &amp; \\sfrac{\\bm{5}}{\\bm{3}}\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"216\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h4 class=\"wp-block-heading\">\u7ec3\u4e604<\/h4>\n<p>\u4f7f\u7528\u4f34\u968f\u77e9\u9635\u65b9\u6cd5\u5bf9\u4ee5\u4e0b 3 \u9636\u77e9\u9635\u6c42\u9006\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bf71320b51e9514d1c372389aeb3410a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}4&amp;5&amp;-1\\\\[1.1ex] -1&amp;3&amp;2\\\\[1.1ex] 3&amp;8&amp;1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"150\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u9006\u77e9\u9635\u516c\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u9700\u8981\u5148\u8ba1\u7b97\u77e9\u9635\u7684\u884c\u5217\u5f0f\uff0c\u56e0\u4e3a\u5982\u679c\u884c\u5217\u5f0f\u4e3a0\uff0c\u5219\u610f\u5473\u7740\u77e9\u9635\u6ca1\u6709\u9006\u77e9\u9635\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eb7dc647f4121450eeadf2f5b62b4475_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}A\\end{vmatrix}=\\begin{vmatrix} 4&amp;5&amp;-1\\\\[1.1ex] -1&amp;3&amp;2\\\\[1.1ex] 3&amp;8&amp;1 \\end{vmatrix} = 12+30+8+9-64+5 = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"389\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> A\u7684\u884c\u5217\u5f0f\u4e3a0\uff0c<strong>\u56e0\u6b64\u77e9\u9635\u4e0d\u80fd\u6c42\u9006\u3002<\/strong><\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h4 class=\"wp-block-heading\">\u7ec3\u4e605<\/h4>\n<p>\u7528\u884c\u5217\u5f0f\u77e9\u9635\u6cd5\u5bf9\u4ee5\u4e0b 3 \u00d7 3 \u65b9\u9635\u6c42\u9006\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-92e56e0f8013b6b65c0894a139537cae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}1 &amp; 4 &amp; -3 \\\\[1.1ex] -2 &amp; 1 &amp; 0 \\\\[1.1ex] -1 &amp; -2 &amp; 2\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"164\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u9006\u77e9\u9635\u516c\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u9996\u5148\u6211\u4eec\u7528 Sarrus \u89c4\u5219\u6c42\u89e3\u77e9\u9635\u7684\u884c\u5217\u5f0f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-07f116ed906c31644ed0513667988e6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\lvert A \\rvert = \\begin{vmatrix} 1 &amp; 4 &amp; -3 \\\\[1.1ex] -2 &amp; 1 &amp; 0 \\\\[1.1ex] -1 &amp; -2 &amp; 2 \\end{vmatrix} = 2+0-12-3-0+16 = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"392\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u884c\u5217\u5f0f\u4e0d\u7b49\u4e8e0\uff0c\u56e0\u6b64\u53ef\u4ee5\u5bf9\u77e9\u9635\u6c42\u9006\u3002<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u6c42\u89e3\u4e86\u884c\u5217\u5f0f\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u627e\u5230 A \u7684\u4f34\u968f\u77e9\u9635\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-20da2eac0d49b1134b39b1f5c95c5659_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de 1} =  (-1)^{1+1} \\bm{\\cdot} \\begin{vmatrix}  1 &amp; 0 \\\\[1.1ex]  -2 &amp; 2 \\end{vmatrix} = 1 \\bm{\\cdot} (2-0) = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5b80624f0963dfb1a111d96b4e1ceae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de 4} =  (-1)^{1+2} \\bm{\\cdot} \\begin{vmatrix}  -2 &amp;  0 \\\\[1.1ex] -1 &amp; 2 \\end{vmatrix} = -1 \\bm{\\cdot} (-4-0) = \\bm{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"405\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-50dd371e77d1896adb197321b68efd1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de -3} = (-1)^{1+3} \\bm{\\cdot} \\begin{vmatrix} -2 &amp; 1 \\\\[1.1ex] -1 &amp; -2 \\end{vmatrix} = 1 \\bm{\\cdot} \\bigl(4-(-1)\\bigr) = \\bm{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"427\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-60b779f4366a3ef38ae522fcfca8e7d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de -2} =  (-1)^{2+1} \\bm{\\cdot} \\begin{vmatrix}  4 &amp; -3  \\\\[1.1ex]  -2 &amp; 2 \\end{vmatrix} = -1 \\bm{\\cdot} (8-6) = \\bm{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"424\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-51cb00c42e6932810a4220eb85c61acd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de 1} = (-1)^{2+2} \\bm{\\cdot} \\begin{vmatrix} 1 &amp;  -3  \\\\[1.1ex] -1 &amp;  2 \\end{vmatrix} = 1 \\bm{\\cdot} (2-3) = \\bm{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"405\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a3b26cbfa55d5567d2dae10c5dfbd158_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de 0} =  (-1)^{2+3} \\bm{\\cdot} \\begin{vmatrix} 1 &amp; 4  \\\\[1.1ex] -1 &amp; -2 \\end{vmatrix} = -1 \\bm{\\cdot} \\bigl(-2-(-4)\\bigr) = \\bm{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"462\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8d9f1bf4f5e01df910cd59bd4b25f816_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de -1} = (-1)^{3+1} \\bm{\\cdot} \\begin{vmatrix}  4 &amp; -3 \\\\[1.1ex]  1 &amp; 0  \\end{vmatrix} = 1 \\bm{\\cdot} \\bigl(0-(-3)\\bigr) = \\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"414\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8ce129b17734facf076e48fb1928d0e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de -2}   = (-1)^{3+2} \\bm{\\cdot} \\begin{vmatrix} 1 &amp; -3 \\\\[1.1ex] -2 &amp; 0 \\end{vmatrix} = -1 \\cdot (0-6) = \\bm{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"419\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3c8b319461dad7880bf2b9f20187b6fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Adjunto de 2} =  (-1)^{3+3} \\bm{\\cdot} \\begin{vmatrix} 1 &amp; 4 \\\\[1.1ex] -2 &amp; 1 \\end{vmatrix} = 1 \\bm{\\cdot} \\bigl(1-(-8)\\bigr) = \\bm{9}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"408\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-748fcb9d9d2a8326379da4d2bd08534a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\displaystyle \\text{Adj}(A) = \\begin{pmatrix} 2 &amp; 4 &amp; 5 \\\\[1.1ex] -2 &amp; -1 &amp; -2 \\\\[1.1ex] 3 &amp; 6 &amp; 9 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"206\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u6211\u4eec\u8ba1\u7b97\u4e86\u77e9\u9635\u7684\u884c\u5217\u5f0f\u53ca\u5176\u4f34\u968f\u7269\uff0c\u6211\u4eec\u5c06\u5b83\u4eec\u7684\u503c\u4ee3\u5165\u4ee5\u4e0b\u516c\u5f0f\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1fe85ec6c4385daba7d2488b0d60ee2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{\\vert A \\vert } \\cdot \\Bigl( \\text{Adj}(A)\\Bigr)^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"175\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a0fc0e6effb520e22ff82c3034b4d4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{3} \\cdot \\begin{pmatrix} 2 &amp; 4 &amp; 5 \\\\[1.1ex] -2 &amp; -1 &amp; -2 \\\\[1.1ex] 3 &amp; 6 &amp; 9\\end{pmatrix}^{\\bm{t}}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"215\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u8f6c\u7f6e\u9644\u52a0\u77e9\u9635\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bba6ddbc8ab9f2c64eb03cdb9fea530a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\cfrac{1}{3} \\cdot \\begin{pmatrix} 2 &amp; -2 &amp; 3 \\\\[1.1ex] 4 &amp; -1 &amp; 6 \\\\[1.1ex] 5 &amp; -2 &amp; 9 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"178\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\u6211\u4eec\u64cd\u4f5c\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41f999c23e7d5ce129b410b9f486983e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1} = \\begin{pmatrix} \\sfrac{2}{3} &amp; \\sfrac{-2}{3} &amp; \\sfrac{3}{3} \\\\[1.1ex] \\sfrac{4}{3} &amp; \\sfrac{-1}{3} &amp; \\sfrac{6}{3} \\\\[1.1ex] \\sfrac{5}{3} &amp; \\sfrac{-2}{3} &amp; \\sfrac{9}{3} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"181\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-matrice-inverse-par-matrice-adjointe-33.webp\" alt=\"\u7ec3\u4e60\u7528\u4f34\u968f\u77e9\u96353x3\u7684\u65b9\u6cd5\u9010\u6b65\u6c42\u89e3\u9006\u77e9\u9635\" width=\"232\" height=\"104\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h2 class=\"wp-block-heading\">\u4f7f\u7528\u9ad8\u65af\u65b9\u6cd5\u6c42\u9006\u77e9\u9635\uff1a<\/h2>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<p>\u8981<strong>\u4f7f\u7528\u9ad8\u65af\u65b9\u6cd5\u8ba1\u7b97\u77e9\u9635\u7684\u9006<\/strong>\uff0c<strong>\u5fc5\u987b\u5bf9\u77e9\u9635\u7684\u884c\u8fdb\u884c\u8fd0\u7b97<\/strong>\uff08\u6211\u4eec\u7a0d\u540e\u4f1a\u770b\u5230\uff09\u3002\u56e0\u6b64\uff0c\u5728\u4e86\u89e3\u5982\u4f55\u4f7f\u7528\u9ad8\u65af\u65b9\u6cd5\u4e4b\u524d\uff0c\u4e86\u89e3\u53ef\u4ee5\u5bf9\u77e9\u9635\u884c\u6267\u884c\u7684\u6240\u6709\u64cd\u4f5c\u975e\u5e38\u91cd\u8981\uff1a<\/p>\n<h3 class=\"wp-block-heading\">\u9ad8\u65af\u65b9\u6cd5\u4e2d\u5141\u8bb8\u7684\u7ebf\u53d8\u6362<\/h3>\n<ul>\n<li><strong><span style=\"color:#1976d2;\">\u66f4\u6539\u77e9\u9635\u7684\u884c\u987a\u5e8f<\/span><\/strong>\u3002<\/li>\n<\/ul>\n<p>\u4f8b\u5982\uff0c\u6211\u4eec\u53ef\u4ee5\u66f4\u6539\u77e9\u9635\u7b2c 2 \u884c\u548c\u7b2c 3 \u884c\u7684\u987a\u5e8f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d3f607625afb96bfb250168bd330818_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc} 3 &amp; 5 &amp; -2 \\\\[2ex] -2 &amp; 4 &amp; -1  \\\\[2ex] 6 &amp; 1 &amp; -3 \\end{array} \\right)  \\begin{array}{c} \\\\[2ex] \\xrightarrow{ f_2 \\rightarrow f_3}} \\\\[2ex] \\xrightarrow{ f_3 \\rightarrow f_2}} \\end{array} \\left( \\begin{array}{ccc} 3 &amp; 5 &amp; -2  \\\\[2ex] 6 &amp; 1 &amp; -3  \\\\[2ex] -2 &amp; 4 &amp; -1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"331\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5c06\u4e00\u884c\u4e2d\u7684\u6240\u6709\u9879<strong><span style=\"color:#1976d2;\">\u4e58\u4ee5\u6216\u9664\u4ee5<\/span><\/strong>0 \u4ee5\u5916\u7684\u6570\u5b57\u3002<\/li>\n<\/ul>\n<p>\u4f8b\u5982\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u7b2c 1 \u884c\u4e58\u4ee5 4\uff0c\u5e76\u5c06\u7b2c 3 \u884c\u9664\u4ee5 2\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3cca4df71c23b1f005068a0a93b77dfe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc} 1 &amp; -2 &amp; 3 \\\\[2ex] 3 &amp; -1 &amp; 5  \\\\[2ex] 2 &amp; -4 &amp; -2  \\end{array} \\right) \\begin{array}{c}  \\xrightarrow{4  f_1} \\\\[2ex]  \\\\[2ex] \\xrightarrow{ f_3 \/ 2} \\end{array} \\left( \\begin{array}{ccc} 4 &amp; -8 &amp; 12 \\\\[2ex] 3 &amp; -1 &amp; 5  \\\\[2ex] 1 &amp; -2 &amp; -1  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"103\" width=\"318\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li><strong><span style=\"color:#1976d2;\">\u5c06\u4e00\u884c\u66ff\u6362<\/span><\/strong>\u4e3a\u540c\u4e00\u884c\u52a0\u4e0a\u53e6\u4e00\u884c\u4e58\u4ee5\u4e00\u4e2a\u6570\u5b57\u7684\u603b\u548c\u3002<\/li>\n<\/ul>\n<p>\u4f8b\u5982\uff0c\u5728\u4ee5\u4e0b\u77e9\u9635\u4e2d\uff0c\u6211\u4eec\u5c06\u7b2c 3 \u884c\u4e58\u4ee5 1 \u6dfb\u52a0\u5230\u7b2c 2 \u884c\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8ca6644f015dd42ddbf4ab159bd10dec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc} -1 &amp; -3 &amp; 4  \\\\[2ex] 2 &amp; 4 &amp; 1  \\\\[2ex] 1 &amp; -2 &amp; 3  \\end{array} \\right) \\begin{array}{c}   \\\\[2ex]  \\xrightarrow{f_2 + 1\\cdot f_3}  \\\\[2ex] &amp; \\end{array} \\left( \\begin{array}{ccc} -1 &amp; -3 &amp; 4  \\\\[2ex] 3 &amp; 2 &amp; 4  \\\\[2ex] 1 &amp; -2 &amp; 3  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"339\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\">\u4f7f\u7528\u9ad8\u65af\u65b9\u6cd5\u8ba1\u7b97\u9006\u77e9\u9635\u7684\u793a\u4f8b\uff1a<\/h3>\n<p>\u8ba9\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u6765\u770b\u770b\u5982\u4f55\u5e94\u7528<strong>\u9ad8\u65af\u65b9\u6cd5<\/strong>\u6765\u6c42\u9006\u77e9\u9635\uff1a<\/p>\n<ul>\n<li>\u8ba1\u7b97\u4ee5\u4e0b\u77e9\u9635\u7684\u9006\u77e9\u9635\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-71553480cefa679dcb8eb98d97e0c717_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A = \\left( \\begin{array}{ccc} 1 &amp; 0 &amp; 1 \\\\[2ex] 0 &amp; 2 &amp; 1 \\\\[2ex] 1 &amp; 5 &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"139\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u9700\u8981\u505a\u7684\u7b2c\u4e00\u4ef6\u4e8b\u662f\u5c06<strong>A \u77e9\u9635\u548c\u5355\u4f4d\u77e9\u9635\u5408\u5e76\u4e3a\u4e00\u4e2a\u77e9\u9635<\/strong>\u3002\u5de6\u8fb9\u662fA\u77e9\u9635\uff0c\u53f3\u8fb9\u662f\u5355\u4f4d\u77e9\u9635\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d0650812fe7946f6da1e7973709dfde1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\bigl( A \\  \\lvert \\ I \\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"51\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-matrice-inverse-par-la-methode-de-gauss-32153.webp\" alt=\"\u7ec3\u4e60\u75283x3\u9ad8\u65af\u6cd5\u9010\u6b65\u6c42\u89e3\u9006\u77e9\u9635\" width=\"203\" height=\"120\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-background\" style=\"background-color:#dff6ff\">\u4e3a\u4e86\u8ba1\u7b97\u9006\u77e9\u9635\uff0c\u6211\u4eec\u9700\u8981<strong>\u5c06\u5de6\u77e9\u9635\u8f6c\u6362\u4e3a\u5355\u4f4d\u77e9\u9635\u3002<\/strong>\u4e3a\u6b64\uff0c\u6211\u4eec\u9700\u8981\u5bf9\u884c\u8fdb\u884c\u8f6c\u6362\uff0c\u76f4\u5230\u5230\u8fbe\u90a3\u91cc\u3002<\/p>\n<p>\u6211\u4eec\u6309\u5217\u8fdb\u884c\u64cd\u4f5c\uff0c\u4e5f\u5c31\u662f\u8bf4\u6211\u4eec\u5bf9\u884c\u8fdb\u884c\u64cd\u4f5c\uff0c\u9996\u5148\u53d8\u6362\u7b2c\u4e00\u5217\u7684\u6570\u5b57\uff0c\u7136\u540e\u53d8\u6362\u7b2c\u4e8c\u5217\u7684\u6570\u5b57\uff0c\u6700\u540e\u53d8\u6362\u7b2c\u4e09\u5217\u7684\u6570\u5b57\u3002 <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-35\">\n<div class=\"wp-block-column is-layout-flow\" style=\"flex-basis:66.66%\">\n<p class=\"has-text-align-justify\">\u7b2c\u4e00\u5217\u4e2d\u7684 1 \u548c 0 \u5df2\u7ecf\u5408\u9002\uff0c\u56e0\u4e3a\u5355\u4f4d\u77e9\u9635\u5728\u8fd9\u4e9b\u4f4d\u7f6e\u4e5f\u6709 1 \u548c 0\u3002\u56e0\u6b64\uff0c\u6b64\u65f6\u65e0\u9700\u5bf9\u8fd9\u4e9b\u884c\u5e94\u7528\u8f6c\u6362\u3002 <\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\" style=\"flex-basis:33.33%\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7f51b3a869dde9c1697be9e57fce1548_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(  \\begin{array}{ccc|ccc} \\color{blue}\\boxed{\\color{black}1} &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] \\color{blue}\\boxed{\\color{black}0} &amp; 2 &amp; 1 &amp; 0 &amp; 1 &amp; 0  \\\\[2ex] 1 &amp; 5 &amp; 4 &amp;0 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"101\" width=\"255\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p>\u7136\u800c\uff0c\u5355\u4f4d\u77e9\u9635\u7b2c\u4e00\u5217\u7684\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u4e3a 0\uff0c\u800c\u73b0\u5728\u4e3a 1\u3002\u56e0\u6b64\u6211\u4eec\u9700\u8981\u5c06 1 \u8f6c\u6362\u4e3a 0\u3002\u4e3a\u6b64\uff0c<strong>\u6211\u4eec\u5c06\u884c 1 \u4e58\u4ee5 \u2013 \u6dfb\u52a0\u5230\u884c 3.1 \u4e2d\uff1a<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-30b5442d5c5eac3e62aa7a7cae717e48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lrrr|rrr}  &amp; 1 &amp; 5 &amp; 4 &amp;0 &amp; 0 &amp; 1  \\\\ + &amp; -1 &amp; 0 &amp; -1 &amp; -1 &amp; 0 &amp; 0  \\\\ \\hline  &amp; 0 &amp; 5 &amp; 3 &amp; -1 &amp; 0 &amp; 1  \\end{array} \\begin{array}{l} \\color{blue}\\bm{\\leftarrow f_3} \\\\ \\color{blue}\\bm{\\leftarrow -f_1} \\\\ \\phantom{hline} \\\\ \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"68\" width=\"313\" style=\"vertical-align: -29px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u5982\u679c\u6211\u4eec\u8fdb\u884c\u6c42\u548c\uff0c\u6211\u4eec\u6700\u7ec8\u4f1a\u5f97\u5230\u4ee5\u4e0b\u77e9\u9635\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-992a31603c2182a97d31ddf787df4f06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 2 &amp; 1 &amp; 0 &amp; 1 &amp; 0  \\\\[2ex] 1 &amp; 5 &amp; 4 &amp;0 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c}   \\\\[2ex]  \\\\[2ex] \\xrightarrow{f_3 - f_1} \\end{array} \\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 2 &amp; 1 &amp; 0 &amp; 1 &amp; 0  \\\\[2ex] \\color{blue}\\boxed{\\color{black}0} &amp; 5 &amp; 3 &amp; -1 &amp; 0 &amp; 1  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"520\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u8fd9\u6837\u6211\u4eec\u5c31\u6210\u529f\u5730\u5c061\u53d8\u6210\u4e860\u3002<\/p>\n<p>\u73b0\u5728\u8ba9\u6211\u4eec\u7ee7\u7eed\u770b\u5de6\u4fa7\u77e9\u9635\u7684\u7b2c\u4e8c\u5217\u3002\u7b2c\u4e00\u4e2a\u5143\u7d20\u662f 0\uff0c\u8fd9\u5f88\u597d\uff0c\u56e0\u4e3a\u5355\u4f4d\u77e9\u9635\u5728\u540c\u4e00\u4f4d\u7f6e\u6709\u4e00\u4e2a 0\u3002\u7136\u800c\uff0c\u5e94\u8be5\u662f 1\uff0c\u800c\u4e0d\u662f 2\uff0c<strong>\u6240\u4ee5\u6211\u4eec\u5c06\u7b2c\u4e8c\u884c\u9664\u4ee5 2\uff1a<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a86b61ee601f9cd0ff9a70d1a280f887_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 2 &amp; 1 &amp; 0 &amp; 1 &amp; 0  \\\\[2ex] 1 &amp; 5 &amp; 4 &amp;0 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c}   \\\\[2ex] \\xrightarrow{f_2\/2}\\\\[2ex] &amp; \\end{array}  \\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; \\color{blue}\\boxed{\\color{black}1} &amp; \\sfrac{1}{2} &amp; 0 &amp; \\sfrac{1}{2} &amp; 0  \\\\[2ex] 0 &amp; 5 &amp; 3 &amp; -1 &amp; 0 &amp; 1  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"527\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u53e6\u5916\uff0c\u5728\u7b2c\u4e8c\u5217\u4e2d\uff0c\u6211\u4eec\u8fd8\u9700\u8981\u5c06 5 \u53d8\u6210 0\u3002\u56e0\u4e3a 5 \u6bd4\u7b2c\u4e8c\u884c\u4e2d\u7684 1 \u5927\u4e94\u500d\uff0c<strong>\u6240\u4ee5\u6211\u4eec\u5c06\u7b2c 2 \u884c\u4e58\u4ee5 -5 \u6dfb\u52a0\u5230\u7b2c 3 \u884c\uff1a<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-66dd50ad7ec5e4c45f5011094a0c21b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lrrr|rrr}  &amp; 0 &amp; 5 &amp; 3 &amp; -1 &amp; 0 &amp; 1  \\\\ + &amp; 0 &amp; -5 &amp; \\sfrac{-5}{2} &amp; 0 &amp; \\vphantom{\\Bigl(}\\sfrac{-5}{2} &amp; 0  \\\\ \\hline &amp; 0 &amp; 0 &amp;  \\sfrac{1}{2}  &amp; -1 &amp; \\sfrac{-5}{2} \\vphantom{\\Bigl(} &amp; 1  \\end{array} \\begin{array}{l} \\color{blue}\\bm{\\leftarrow f_3} \\\\ \\color{blue}\\bm{\\leftarrow -5f_2}\\vphantom{\\Bigl(} \\\\ \\phantom{hline} \\vphantom{\\Bigl(}  \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"88\" width=\"355\" style=\"vertical-align: -39px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u901a\u8fc7\u6267\u884c\u6b64\u64cd\u4f5c\uff0c\u6211\u4eec\u6700\u7ec8\u5f97\u5230\u7b2c\u4e8c\u5217\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u4e3a 0 \u7684\u77e9\u9635\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fcc790f05d73d308cb7d992841ab031a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{1}{2} &amp; 0 &amp; \\sfrac{1}{2} &amp; 0  \\\\[2ex] 0 &amp; 5 &amp; 3 &amp; -1 &amp; 0 &amp; 1  \\end{array} \\right) \\begin{array}{c}   \\\\[2ex] \\\\[2ex] \\xrightarrow{f_3 - 5f_2} \\end{array}  \\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{1}{2} &amp; 0 &amp; \\sfrac{1}{2} &amp; 0  \\\\[2ex]  0 &amp; \\color{blue}\\boxed{\\color{black}0} &amp;  \\sfrac{1}{2}  &amp; -1 &amp; \\sfrac{-5}{2}  &amp; 1  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"590\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5c06\u77e9\u9635\u7684\u6700\u540e\u4e00\u5217\u5411\u5de6\u53d8\u6362\uff0c\u4f46\u8fd9\u4e00\u6b21\u6211\u4eec\u5fc5\u987b\u4ece\u5e95\u90e8\u5f00\u59cb\u3002\u56e0\u6b64\u6709\u5fc5\u8981\u6539\u9020<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8b05f3ca9cc1227bdfe634ccc9f60935_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sfrac{1}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u53d8\u6210 1\u3002\u56e0\u6b64\uff0c<strong>\u6211\u4eec\u5c06\u6700\u540e\u4e00\u884c\u4e58\u4ee5 2\uff1a<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-69614cae4dd388b6454ffd9b8d63c9a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{1}{2} &amp; 0 &amp; \\sfrac{1}{2} &amp; 0  \\\\[2ex]  0 &amp; 0 &amp;  \\sfrac{1}{2}  &amp; -1 &amp; \\sfrac{-5}{2}  &amp; 1  \\end{array} \\right)\\begin{array}{c}   \\\\[2ex] \\\\[2ex] \\xrightarrow{2f_3} \\end{array}  \\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{1}{2} &amp; 0 &amp; \\sfrac{1}{2} &amp; 0  \\\\[2ex]  0 &amp; 0 &amp;  \\color{blue}\\boxed{\\color{black}1}  &amp; -2 &amp; -5  &amp; 2  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"562\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u73b0\u5728\u5fc5\u987b\u8f6c\u53d8<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8b05f3ca9cc1227bdfe634ccc9f60935_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sfrac{1}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u6700\u540e\u4e00\u5217\u7684\u4f59\u6570\u4e3a 0\u3002\u4f46\u662f\uff0c\u8fd9\u6b21\u6211\u4eec\u4e0d\u80fd\u5c06\u8be5\u884c\u4e58\u4ee5 2\uff0c\u56e0\u4e3a\u6211\u4eec\u8fd8\u4f1a\u5c06 1 \u8f6c\u6362\u4e3a 2\uff08\u5f53\u5355\u4f4d\u77e9\u9635\u5728\u8be5\u4f4d\u7f6e\u6709 1 \u65f6\uff09\u3002\u56e0\u6b64\uff0c<strong>\u6211\u4eec\u5c06\u7b2c 3 \u884c\u9664\u4ee5 -2 \u6dfb\u52a0\u5230\u7b2c 2 \u884c\uff1a<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-881f9ea3ce2e52ddf332a13aba43bbcf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lrrr|rcr}  &amp; 0 &amp; 1 &amp;  \\vphantom{\\Bigl(} \\sfrac{1}{2} &amp; 0 &amp; \\sfrac{1}{2} &amp; 0  \\\\ + &amp; 0 &amp; 0 &amp;\\vphantom{\\Bigl(} -\\sfrac{1}{2}  &amp; 1 &amp; \\sfrac{5}{2}  &amp; -1  \\\\ \\hline &amp; 0 &amp; 1 &amp; 0\\phantom{0}  &amp; 1 &amp; 3 \\vphantom{\\Bigl(} &amp; -1  \\end{array} \\begin{array}{l}\\vphantom{\\Bigl(} \\color{blue}\\bm{\\leftarrow f_2} \\\\ \\color{blue}\\bm{\\leftarrow f_3\/(-2)}\\vphantom{\\Bigl(} \\\\ \\phantom{hline} \\vphantom{\\Bigl(}  \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"357\" style=\"vertical-align: -44px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u901a\u8fc7\u6267\u884c\u6b64\u64cd\u4f5c\uff0c\u6211\u4eec\u6210\u529f\u5730\u6539\u53d8\u4e86<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8b05f3ca9cc1227bdfe634ccc9f60935_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sfrac{1}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5728 0 \u4e2d\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-537958a51f67c7602ef121fa2c997ca8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{1}{2} &amp; 0 &amp; \\sfrac{1}{2} &amp; 0  \\\\[2ex]  0 &amp; 0 &amp;  1  &amp; -2 &amp; -5  &amp; 2  \\end{array} \\right) \\begin{array}{c}   \\\\[2ex] \\xrightarrow{f_2-f_3\/2} \\\\[2ex] &amp; \\end{array}  \\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\color{blue}\\boxed{\\color{black}0} &amp; 1 &amp; 3  &amp; -1  \\\\[2ex]  0 &amp; 0 &amp;  1  &amp; -2 &amp; -5  &amp; 2  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"598\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u53ea\u9700\u8981\u5c06\u7b2c\u4e09\u5217\u7b2c\u4e00\u884c\u4e2d\u7684 1 \u8f6c\u6362\u4e3a 0\u3002\u7b2c\u4e09\u884c\u540c\u4e00\u5217\u4e2d\u4e5f\u6709\u4e00\u4e2a 1\uff0c<strong>\u56e0\u6b64\u6211\u4eec\u5c06\u7b2c 3 \u884c\u4e58\u4ee5 -1 \u6dfb\u52a0\u5230\u7b2c 1 \u884c\uff1a<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8854a556147caefb16a2030e0e5e949a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lrrr|rcr}  &amp; 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\ + &amp; 0 &amp; 0 &amp;  -1  &amp; 2 &amp; 5  &amp; -2  \\\\ \\hline &amp; 1 &amp; 0 &amp; 0  &amp; 3 &amp; 5 &amp; -2  \\end{array} \\begin{array}{l}\\color{blue}\\bm{\\leftarrow f_1} \\\\ \\color{blue}\\bm{\\leftarrow -f_3}\\\\ \\phantom{hline}   \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"68\" width=\"300\" style=\"vertical-align: -29px;\"><\/p>\n<\/p>\n<p>\u901a\u8fc7\u6267\u884c\u6b64\u64cd\u4f5c\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06 1 \u8f6c\u6362\u4e3a 0\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8ddd39df6bc92258ba163c65de4fd59f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\ \\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp;0 &amp; 1 &amp; 3  &amp; -1  \\\\[2ex]  0 &amp; 0 &amp;  1  &amp; -2 &amp; -5  &amp; 2  \\end{array} \\right) \\begin{array}{c} \\xrightarrow{f_1-f_3}  \\\\[2ex]  \\\\[2ex]  &amp; \\end{array}  \\left(  \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; \\color{blue}\\boxed{\\color{black}0}  &amp; 3 &amp; 5 &amp; -2  \\\\[2ex] 0 &amp; 1 &amp; 0 &amp; 1 &amp; 3  &amp; -1  \\\\[2ex]  0 &amp; 0 &amp;  1  &amp; -2 &amp; -5  &amp; 2  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"99\" width=\"589\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4e00\u65e6\u6211\u4eec\u6210\u529f\u5730\u5c06\u5de6\u77e9\u9635\u8f6c\u6362\u4e3a\u5355\u4f4d\u77e9\u9635\uff0c\u6211\u4eec\u4e5f\u5c31\u77e5\u9053\u4e86\u9006\u77e9\u9635\u3002\u56e0\u4e3a<strong>\u9006\u77e9\u9635\u5c31\u662f\u6211\u4eec\u5c06\u5de6\u77e9\u9635\u8f6c\u4e3a\u5355\u4f4d\u77e9\u9635\u5728\u53f3\u8fb9\u5f97\u5230\u7684\u77e9\u9635<\/strong>\u3002\u56e0\u6b64\u77e9\u9635\u7684\u9006\u4e3a\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-matrice-inverse-32153.webp\" alt=\"3x3 \u9006\u77e9\u9635\u793a\u4f8b\" width=\"251\" height=\"117\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\">\u7528\u9ad8\u65af\u65b9\u6cd5\u89e3\u51b3\u9006\u77e9\u9635\u7684\u7ec3\u4e60<\/h3>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-118\"><\/div>\n<\/div>\n<h4 class=\"wp-block-heading\">\u7ec3\u4e601<\/h4>\n<p>\u901a\u8fc7\u9ad8\u65af\u65b9\u6cd5\u5bf9\u4ee5\u4e0b\u77e9\u9635\u6c42\u9006\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36886e1ab1007f9a53bdc0dd71a0d15b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; 2 \\\\[1.1ex] 1 &amp; 3  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6211\u4eec\u9700\u8981\u505a\u7684\u7b2c\u4e00\u4ef6\u4e8b\u662f\u5c06 A \u77e9\u9635\u548c\u5355\u4f4d\u77e9\u9635\u5408\u5e76\u4e3a\u4e00\u4e2a\u77e9\u9635\u3002\u5de6\u8fb9\u662fA\u77e9\u9635\uff0c\u53f3\u8fb9\u662f\u5355\u4f4d\u77e9\u9635\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3cbeb2e5edb9eaf9e47efc4cc74b1333_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( A \\ | \\ I \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-matrice-de-gauss-inverse-22152.webp\" alt=\"\u901a\u8fc7 2x2 \u9ad8\u65af\u65b9\u6cd5\u6c42\u89e3\u9006\u77e9\u9635\u7684\u7ec3\u4e60\" width=\"143\" height=\"66\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\">\u73b0\u5728\uff0c\u4e3a\u4e86\u8ba1\u7b97\u9006\u77e9\u9635\uff0c\u6211\u4eec\u9700\u8981\u5c06\u5de6\u4fa7\u77e9\u9635\u8f6c\u6362\u4e3a\u5355\u4f4d\u77e9\u9635\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u9700\u8981\u5bf9\u884c\u8fdb\u884c\u8f6c\u6362\uff0c\u76f4\u5230\u5230\u8fbe\u90a3\u91cc\u3002<\/p>\n<p class=\"has-text-align-left\">\u7b2c\u4e00\u9879 1 \u5df2\u7ecf\u4e0e\u5355\u4f4d\u77e9\u9635\u76f8\u540c\u3002\u56e0\u6b64\uff0c\u6b64\u65f6\u65e0\u9700\u5bf9\u7b2c\u4e00\u884c\u5e94\u7528\u8f6c\u6362\u3002<\/p>\n<p class=\"has-text-align-left\">\u4f46\u662f\uff0c\u5355\u4f4d\u77e9\u9635\u7b2c\u4e00\u5217\u7684\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u4e3a 0\uff0c\u800c\u73b0\u5728\u4e3a 1\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u9700\u8981\u5c06 1 \u8f6c\u6362\u4e3a 0\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u4ece\u7b2c 2 \u884c\u4e2d\u51cf\u53bb\u7b2c 1 \u884c\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-247d8605795c43e79b5d7742854cfe6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{cc|cc}1 &amp; 2 &amp; 1 &amp; 0 \\\\[1.5ex] 1 &amp; 3 &amp; 0 &amp; 1\\end{array} \\right) \\begin{array}{c} \\\\[1.5ex] \\xrightarrow{f_2 - f_1}  \\end{array} \\left( \\begin{array}{cc|cc} 1 &amp; 2 &amp; 1 &amp; 0 \\\\[1.5ex] 0 &amp; 1 &amp; -1 &amp; 1\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"332\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u7ee7\u7eed\u770b\u7b2c\u4e8c\u5217\uff1a\u4e0b\u9762\u7684 1 \u5f88\u597d\u3002\u4f46\u4e0d\u662f\u4e0a\u9762\u7684 2\uff0c\u56e0\u4e3a\u5355\u4f4d\u77e9\u9635\u5728\u8be5\u4f4d\u7f6e\u6709\u4e00\u4e2a 0\u3002\u56e0\u6b64\uff0c\u4e3a\u4e86\u5c06 2 \u8f6c\u6362\u4e3a 0\uff0c\u6211\u4eec\u4ece\u7b2c 1 \u884c\u51cf\u53bb\u7b2c 2 \u884c\u4e58\u4ee5 2\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-173a7bdb55ba058e5ae16d1fd8e91564_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{cc|cc} 1 &amp; 2 &amp; 1 &amp; 0 \\\\[1.5ex] 0 &amp; 1 &amp; -1 &amp; 1 \\end{array} \\right) \\begin{array}{c}  \\xrightarrow{f_1 - 2f_2} \\\\[1.5ex] &amp; \\end{array} \\left( \\begin{array}{cc|cc} 1 &amp; 0 &amp; 3 &amp; -2 \\\\[1.5ex] 0 &amp; 1 &amp; -1 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"367\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u9006\u77e9\u9635\u5c31\u662f\u6211\u4eec\u5c06\u5de6\u8fb9\u7684\u77e9\u9635\u8f6c\u6362\u4e3a\u5355\u4f4d\u77e9\u9635\u540e\u5f97\u5230\u7684\u53f3\u8fb9\u7684\u77e9\u9635\u3002\u73b0\u5728\u6211\u4eec\u5728\u5de6\u4fa7\u5f97\u5230\u4e86\u5355\u4f4d\u77e9\u9635\u3002\u56e0\u6b64\u9006\u77e9\u9635\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-98896d28465c9e1402e1c443375d93fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{A^{-1}= \\left(} \\begin{array}{cc}  \\bm{3} &amp; \\bm{-2} \\\\[1.5ex]  \\bm{-1} &amp; \\bm{1} \\end{array}\\bm{ \\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"157\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h4 class=\"wp-block-heading\">\u7ec3\u4e602<\/h4>\n<p>\u4f7f\u7528\u9ad8\u65af\u8fc7\u7a0b\u5bf9\u4ee5\u4e0b\u77e9\u9635\u6c42\u9006\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7ae5ba4a92a5ddc00ddf5b11775edafd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; 1 &amp; -4 \\\\[1.1ex]  0 &amp; 3 &amp; 2 \\\\[1.1ex] 0 &amp; 1 &amp; 1  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"136\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u9996\u5148\uff0c\u6211\u4eec\u5c06 A \u77e9\u9635\u548c\u5355\u4f4d\u77e9\u9635\u653e\u5165\u4e00\u4e2a\u77e9\u9635\u4e2d\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3cbeb2e5edb9eaf9e47efc4cc74b1333_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( A \\ | \\ I \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-81db2ef94d2db597cebb4c0c77685526_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 1 &amp; -4 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 3 &amp; 2 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"186\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u9700\u8981\u53d8\u6362\u884c\uff0c\u76f4\u5230\u5c06\u5de6\u77e9\u9635\u8f6c\u6362\u4e3a\u5355\u4f4d\u77e9\u9635\u3002<\/p>\n<p class=\"has-text-align-left\">\u5de6\u77e9\u9635\u7684\u7b2c\u4e00\u5217\u5df2\u7ecf\u4e0e\u5355\u4f4d\u77e9\u9635\u7684\u7b2c\u4e00\u5217\u76f8\u540c\u3002\u56e0\u6b64\u6ca1\u6709\u5fc5\u8981\u4fee\u6539\u5176\u4efb\u4f55\u6570\u5b57\u3002<\/p>\n<p class=\"has-text-align-left\">\u7136\u800c\uff0c\u5355\u4f4d\u77e9\u9635\u7b2c\u4e8c\u5217\u7684\u7b2c\u4e8c\u4e2a\u5143\u7d20\u4e2d\u6709\u4e00\u4e2a 1\uff0c\u5176\u4e2d\u73b0\u5728\u6709\u4e00\u4e2a 3\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u5c06 3 \u8f6c\u6362\u4e3a 1\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u4ece\u7b2c 2 \u884c\u51cf\u53bb\u7b2c 3 \u884c\u4e58\u4ee5 2\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bfd7cb4d4b81a75038807eb28393a83e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 1 &amp; -4 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 3 &amp; 2 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c} \\\\[2ex] \\xrightarrow{f_2 - 2f_3} \\\\[2ex] &amp;  \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 1 &amp; 4 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; -2 \\\\[2ex] 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"458\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5355\u4f4d\u77e9\u9635\u7b2c\u4e8c\u5217\u7684\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u4e2d\u6709\u4e00\u4e2a 0\uff0c\u800c\u73b0\u5728\u6709\u4e00\u4e2a 1\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u5c06 1 \u8f6c\u6362\u4e3a 0\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u4ece\u7b2c 3 \u884c\u4e2d\u51cf\u53bb\u7b2c 2 \u884c\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-932479e2f574c19ad7906d3d20e52ad0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 1 &amp; -4 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; -2 \\\\[2ex] 0 &amp; 1 &amp; 1 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c} \\\\[2ex]  \\\\[2ex] \\xrightarrow{f_3 - f_2} \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 1 &amp; -4 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; -2 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; 0 &amp; -1 &amp; 3 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"492\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5355\u4f4d\u77e9\u9635\u7b2c\u4e8c\u5217\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u4e2d\u6709\u4e00\u4e2a 0\uff0c\u800c\u73b0\u5728\u6709\u4e00\u4e2a 1\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u5c06 1 \u8f6c\u6362\u4e3a 0\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u4ece\u7b2c 1 \u884c\u4e2d\u51cf\u53bb\u7b2c 2 \u884c\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-566e1453aab03f9792cb281e4c88a68c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 1 &amp; -4 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; -2 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; 0 &amp; -1 &amp; 3 \\end{array} \\right) \\begin{array}{c} \\xrightarrow{f_1 - f_2} \\\\[2ex]  \\\\[2ex] &amp;  \\end{array} \\left( \\begin{array}{ccc|ccc}1 &amp; 0 &amp; -4 &amp; 1 &amp; -1 &amp; 2 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; -2 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; 0 &amp; -1 &amp; 3 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"506\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u73b0\u5728\u8981\u505a\u7684\u5c31\u662f\u5c06 -4 \u8f6c\u6362\u4e3a 0\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5c06\u7b2c 3 \u884c\u4e58\u4ee5 4 \u6dfb\u52a0\u5230\u7b2c 1 \u884c\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6f98a9cabeb101602dd11aa73516b998_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; -4 &amp; 1 &amp; -1 &amp; 2 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; -2 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; 0 &amp; -1 &amp; 3\\end{array} \\right) \\begin{array}{c} \\xrightarrow{f_1 + 4f_3} \\\\[2ex]  \\\\[2ex] &amp;  \\end{array} \\left( \\begin{array}{ccc|ccc}1 &amp; 0 &amp; 0 &amp; 1 &amp; -5 &amp; 14 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; -2 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; 0 &amp; -1 &amp; 3 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"499\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u5df2\u7ecf\u4ece\u5de6\u4fa7\u83b7\u5f97\u4e86\u5355\u4f4d\u77e9\u9635\u3002\u56e0\u6b64\u9006\u77e9\u9635\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e43ce6a7061f0339bd5d44b83afec07f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{A^{-1}= \\left( } \\begin{array}{ccc}  \\bm{1} &amp; \\bm{-5}  &amp; \\bm{14} \\\\[2ex]  \\bm{0} &amp; \\bm{1} &amp; \\bm{-2} \\\\[2ex] \\bm{0} &amp; \\bm{-1 }&amp; \\bm{3} \\end{array} \\bm{ \\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"185\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h4 class=\"wp-block-heading\">\u7ec3\u4e603<\/h4>\n<p>\u4f7f\u7528\u9ad8\u65af\u65b9\u6cd5\u5bf9\u4ee5\u4e0b\u77e9\u9635\u6c42\u9006\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f02b0186690e68baaa9a630db2c870db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; 2 &amp; 1 \\\\[1.1ex]  0 &amp; 1 &amp; 0 \\\\[1.1ex] 2 &amp; 0 &amp; 3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"122\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u5728\u5f00\u59cb\u64cd\u4f5c\u4e4b\u524d\uff0c\u6211\u4eec\u9700\u8981\u5c06A\u77e9\u9635\u548c\u5355\u4f4d\u77e9\u9635\u5408\u5e76\u6210\u4e00\u4e2a\u77e9\u9635\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3cbeb2e5edb9eaf9e47efc4cc74b1333_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( A \\ | \\ I \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aa6dc5af82076e22b1d0cf7ea16d748b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 2 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 2 &amp; 0 &amp; 3 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"172\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u73b0\u5728\u5fc5\u987b\u901a\u8fc7\u5bf9\u884c\u8fdb\u884c\u64cd\u4f5c\u5c06\u5de6\u77e9\u9635\u8f6c\u6362\u4e3a\u5355\u4f4d\u77e9\u9635\u3002<\/p>\n<p class=\"has-text-align-left\">\u7b2c\u4e00\u5217\u7684\u524d\u4e24\u4e2a\u5143\u7d20\u5df2\u7ecf\u4e0e\u5355\u4f4d\u77e9\u9635\u7684\u524d\u4e24\u4e2a\u5143\u7d20\u76f8\u540c\u3002\u56e0\u6b64\u6ca1\u6709\u5fc5\u8981\u4fee\u6539\u8fd9\u4e9b\u6570\u5b57\u3002<\/p>\n<p class=\"has-text-align-left\">\u4f46\u662f\u5355\u4f4d\u77e9\u9635\u7b2c\u4e00\u5217\u7684\u7b2c\u4e09\u4e2a\u5143\u7d20\u4e2d\u6709\u4e00\u4e2a 0\uff0c\u5176\u4e2d\u73b0\u5728\u6709\u4e00\u4e2a 2\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u5c06 2 \u8f6c\u6362\u4e3a 0\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u4ece\u7b2c 3 \u884c\u51cf\u53bb\u7b2c 1 \u884c\u4e58\u4ee5 2\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-680a314b8cc900e01886291af12145e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc}1 &amp; 2 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 2 &amp; 0 &amp; 3 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c} \\\\[2ex] \\\\[2ex] \\xrightarrow{f_3 - 2f_1}   \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 2 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; -4 &amp; 1 &amp; -2 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"458\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5355\u4f4d\u77e9\u9635\u7b2c\u4e8c\u5217\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u4e2d\u6709\u4e00\u4e2a 0\uff0c\u73b0\u5728\u6709\u4e00\u4e2a 2\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u5c06 2 \u8f6c\u6362\u4e3a 0\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u4ece\u7b2c 1 \u884c\u51cf\u53bb\u7b2c 2 \u884c\u4e58\u4ee5 2\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f87cbc594287f7ea4938091878562b4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 2 &amp; 1 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; -4 &amp; 1 &amp; -2 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c} \\xrightarrow{f_1 -2f_2} \\\\[2ex]  \\\\[2ex] &amp; \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; -2 &amp; 0\\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; -4 &amp; 1 &amp; -2 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"499\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5355\u4f4d\u77e9\u9635\u7b2c\u4e8c\u5217\u7684\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u4e3a 0\uff0c\u73b0\u5728\u4e3a -4\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u5c06 -4 \u8f6c\u6362\u4e3a 0\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5c06\u7b2c 2 \u884c\u4e58\u4ee5 4 \u6dfb\u52a0\u5230\u7b2c 3 \u884c\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b8cf2c3878d2d35656953a55bb3baf94_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; -2 &amp; 0\\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; -4 &amp; 1 &amp; -2 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c} \\\\[2ex]  \\\\[2ex] \\xrightarrow{f_3 +4f_2} \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; 1 &amp; -2 &amp; 0\\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; -2 &amp; 4 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"499\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u73b0\u5728\u8981\u505a\u7684\u5c31\u662f\u5c06\u7b2c\u4e09\u5217\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u8f6c\u6362\u4e3a 0\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5c06\u7b2c 3 \u884c\u4e58\u4ee5 -1 \u6dfb\u52a0\u5230\u7b2c 1 \u884c\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aac851b05c2dc25af3d7b9ecc622c9f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc}1 &amp; 0 &amp; 1 &amp; 1 &amp; -2 &amp; 0\\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; -2 &amp; 4 &amp; 1 \\end{array} \\right) \\begin{array}{c} \\xrightarrow{f_1 - f_3} \\\\[2ex]  \\\\[2ex] &amp;  \\end{array} \\left( \\begin{array}{ccc|ccc}1 &amp; 0 &amp; 0 &amp; 3 &amp; -6  &amp; -1\\\\[2ex]  0 &amp; 1 &amp; 0 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; -2 &amp; 4 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"492\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u5df2\u7ecf\u610f\u8bc6\u5230\u5de6\u8fb9\u7684\u77e9\u9635\u662f\u5355\u4f4d\u77e9\u9635\u3002\u6240\u4ee5\u77e9\u9635\u7684\u9006<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4e1c\u65b9\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-161fbe4a4d4dcc4fc503b6e3a9e0bfeb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{A^{-1}= \\left( } \\begin{array}{ccc}  \\bm{3} &amp; \\bm{-6}  &amp; \\bm{-1} \\\\[2ex]  \\bm{0} &amp; \\bm{1} &amp; \\bm{0} \\\\[2ex] \\bm{-2} &amp; \\bm{4}&amp; \\bm{1} \\end{array} \\bm{ \\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"198\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h4 class=\"wp-block-heading\">\u7ec3\u4e604<\/h4>\n<p>\u4f7f\u7528\u9ad8\u65af\u65b9\u6cd5\u5bf9\u4ee5\u4e0b\u77e9\u9635\u6c42\u9006\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-47ad7ccd6aafab72255c96f2bc9148a2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 1 &amp; -2 &amp; 0 \\\\[1.1ex]  1 &amp; 2 &amp; 2 \\\\[1.1ex] 0 &amp; 3 &amp; 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"136\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u6211\u4eec\u9700\u8981\u505a\u7684\u7b2c\u4e00\u4ef6\u4e8b\u662f\u5c06 A \u77e9\u9635\u548c\u5355\u4f4d\u77e9\u9635\u8fde\u63a5\u6210\u4e00\u4e2a\u77e9\u9635\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3cbeb2e5edb9eaf9e47efc4cc74b1333_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( A \\ | \\ I \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a832ceb9f09dfa88238c570b46b74d92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc}1 &amp; -2 &amp; 0 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 1 &amp; 2 &amp; 2 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"186\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u73b0\u5728\u5fc5\u987b\u901a\u8fc7\u5e94\u7528\u884c\u8fd0\u7b97\u5c06\u5de6\u4fa7\u7684\u77e9\u9635\u8f6c\u6362\u4e3a\u5355\u4f4d\u77e9\u9635\u3002<\/p>\n<p class=\"has-text-align-left\">\u7b2c\u4e00\u5217\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u5df2\u7ecf\u4e0e\u5355\u4f4d\u77e9\u9635\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u76f8\u540c\u3002\u56e0\u6b64\u6ca1\u6709\u5fc5\u8981\u6539\u53d8\u5b83\u3002<\/p>\n<p class=\"has-text-align-left\">\u7136\u800c\uff0c\u5355\u4f4d\u77e9\u9635\u7b2c\u4e00\u5217\u7684\u7b2c\u4e8c\u4e2a\u5143\u7d20\u4e2d\u6709\u4e00\u4e2a 0\uff0c\u800c\u73b0\u5728\u6709\u4e00\u4e2a 1\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u5c06 1 \u8f6c\u6362\u4e3a 0\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u4ece\u7b2c 2 \u884c\u4e2d\u51cf\u53bb\u7b2c 1 \u884c\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-83933b5a2315a4dcbc770bf92bf3831b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc}1 &amp; -2 &amp; 0 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 1 &amp; 2 &amp; 2 &amp; 0 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c} \\\\[2ex] \\xrightarrow{f_2 - f_1} \\\\[2ex] &amp;  \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; -2 &amp; 0 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 4 &amp; 2 &amp; -1 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"465\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u7ee7\u7eed\u770b\u7b2c\u4e8c\u5217\uff1a\u6211\u4eec\u9996\u5148\u5c06\u7b2c\u4e8c\u884c\u9664\u4ee5 4\uff0c\u5c06 4 \u8f6c\u6362\u4e3a 1\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-298984c72a249e2b5c98740cc0c1a11e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; -2 &amp; 0 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 4 &amp; 2 &amp; -1 &amp; 1 &amp; 0 \\\\[2ex] 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0 &amp; 1\\end{array} \\right) \\begin{array}{c} \\\\[2ex] \\xrightarrow{f_2\/4} \\\\[2ex] &amp;  \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; -2 &amp; 0 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\[2ex] 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"495\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5355\u4f4d\u77e9\u9635\u7b2c\u4e8c\u5217\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u4e3a 0\uff0c\u73b0\u5728\u4e3a -2\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u5c06 -2 \u8f6c\u6362\u4e3a 0\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5c06\u7b2c 2 \u884c\u4e58\u4ee5 2 \u6dfb\u52a0\u5230\u7b2c 1 \u884c\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ce876446d5d01a152e39480d69affd8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lrrr|rcr} &amp; 1 &amp; -2 &amp; 0 &amp; 1 &amp; 0 &amp; 0 \\\\ + &amp; 0 &amp; 2 &amp; 1 &amp; \\vphantom{\\Bigl(}\\sfrac{-2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\ \\hline &amp; 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} \\vphantom{\\Bigl(}&amp; 0 \\end{array} \\begin{array}{l} \\color{blue}\\bm{\\leftarrow f_1} \\\\ \\color{blue}\\bm{\\leftarrow 2f_2}\\vphantom{\\Bigl(} \\\\ \\phantom{hline} \\vphantom{\\Bigl(} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"88\" width=\"313\" style=\"vertical-align: -39px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3dfcdcb586eed87861b3ac0ea46bea2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; -2 &amp; 0 &amp; 1 &amp; 0 &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\[2ex] 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0 &amp; 1\\end{array} \\right) \\begin{array}{c} \\xrightarrow{f_1 +2f_2} \\\\[2ex]  \\\\[2ex] &amp; \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\[2ex] 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"525\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5355\u4f4d\u77e9\u9635\u7b2c\u4e8c\u5217\u7684\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u4e2d\u6709\u4e00\u4e2a 0\uff0c\u73b0\u5728\u6709\u4e00\u4e2a 3\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u5c06 3 \u8f6c\u6362\u4e3a 0\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u4ece\u7b2c 3 \u884c\u51cf\u53bb\u7b2c 2 \u884c\u4e58\u4ee5 3\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-210ca8df473a00d9f205470ed2aa19a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lrrr|crr} &amp; 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0\\phantom{0} &amp; 1 \\\\ + &amp; 0 &amp; -3 &amp; \\vphantom{\\Bigl(}\\sfrac{-6}{4} &amp; \\sfrac{3}{4} &amp; \\sfrac{-3}{4} &amp; 0 \\\\ \\hline &amp; 0 &amp; 0 &amp; \\vphantom{\\Bigl(}\\sfrac{2}{4} &amp; \\sfrac{3}{4} &amp; \\sfrac{-3}{4} &amp; 1 \\end{array} \\begin{array}{l} \\color{blue}\\bm{\\leftarrow f_3} \\\\ \\color{blue}\\bm{\\leftarrow -3f_2}\\vphantom{\\Bigl(} \\\\ \\phantom{hline} \\vphantom{\\Bigl(} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"88\" width=\"350\" style=\"vertical-align: -39px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-94ed5a1b9cf1db0bfb99ce79d0a6d36b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\[2ex] 0 &amp; 3 &amp; 2 &amp; 0 &amp; 0 &amp; 1 \\end{array} \\right) \\begin{array}{c} \\\\[2ex]  \\\\[2ex] \\xrightarrow{f_3 -3f_2} \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\[2ex] 0 &amp; 0 &amp;\\sfrac{2}{4} &amp; \\sfrac{3}{4} &amp; \\sfrac{-3}{4} &amp; 1  \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"525\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u7ee7\u7eed\u7b2c\u4e09\u5217\uff1a\u6211\u4eec\u5fc5\u987b\u6539\u9020\u6700\u540e\u4e00\u4e2a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cd7d08f65ca5dd13d94128372d3b6c95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sfrac{2}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u53d8\u6210 1\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5c06\u7b2c\u4e09\u884c\u4e58\u4ee5 2\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a8134938726d3b48fe3d7d789260b128_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\[2ex] 0 &amp; 0 &amp;\\sfrac{2}{4} &amp; \\sfrac{3}{4} &amp; \\sfrac{-3}{4} &amp; 1   \\end{array} \\right) \\begin{array}{c} \\\\[2ex]  \\\\[2ex] \\xrightarrow{2f_3 } \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; \\sfrac{6}{4} &amp; \\sfrac{-6}{4} &amp; 2   \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"515\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5355\u4f4d\u77e9\u9635\u6700\u540e\u4e00\u5217\u7684\u7b2c\u4e8c\u4e2a\u5143\u7d20\u4e3a 0\u3002\u56e0\u6b64\u6709\u5fc5\u8981\u5c06\u5176\u8f6c\u6362\u4e3a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cd7d08f65ca5dd13d94128372d3b6c95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sfrac{2}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u53d8\u6210 0\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u4ece\u7b2c 2 \u884c\u51cf\u53bb\u7b2c 3 \u884c\u9664\u4ee5 2\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dc74ebe003751fd9ae3a5a77b2f589c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lrrr|ccr} &amp; 0 &amp; 1 &amp; \\vphantom{\\Bigl(} \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\ + &amp; 0 &amp; 0 &amp; \\vphantom{\\Bigl(} \\sfrac{-1}{2} &amp; \\sfrac{-6}{8} &amp; \\sfrac{6}{8} &amp; -1  \\\\ \\hline &amp; 0 &amp; 1 &amp; 0\\phantom{0} &amp; -1 &amp; 1 &amp; -1\\vphantom{\\Bigl(} \\end{array} \\begin{array}{l} \\color{blue}\\bm{\\leftarrow f_2}\\vphantom{\\Bigl(}  \\\\ \\color{blue}\\bm{\\leftarrow -f_3\/2}\\vphantom{\\Bigl(} \\\\ \\phantom{hline} \\vphantom{\\Bigl(} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"358\" style=\"vertical-align: -44px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8b91b71183a50e41e9be5c7305f8cf3e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{-1}{4} &amp; \\sfrac{1}{4} &amp; 0 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; \\sfrac{6}{4} &amp; \\sfrac{-6}{4} &amp; 2 \\end{array} \\right) \\begin{array}{c} \\\\[2ex] \\xrightarrow{f_2-f_3\/2 } \\\\[2ex] &amp; \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; 0 &amp; -1 &amp; 1 &amp; -1 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; \\sfrac{6}{4} &amp; \\sfrac{-6}{4} &amp; 2   \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"542\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u73b0\u5728\u8981\u505a\u7684\u5c31\u662f\u5c06\u7b2c\u4e09\u5217\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u8f6c\u6362\u4e3a 0\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u4ece\u7b2c 1 \u884c\u4e2d\u51cf\u53bb\u7b2c 3 \u884c\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-38796ed093a0fef52426fb5559931586_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{lrrr|rcr} &amp; 1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\vphantom{\\Bigl(} \\\\ + &amp; 0 &amp; 0 &amp; -1 &amp; \\sfrac{-6}{4} &amp; \\sfrac{6}{4} &amp; -2 \\vphantom{\\Bigl(}  \\\\ \\hline &amp; 1 &amp; 0 &amp; 0 &amp; -1 &amp; 2 &amp; -2 \\vphantom{\\Bigl(} \\end{array} \\begin{array}{l} \\color{blue}\\bm{\\leftarrow f_1}\\vphantom{\\Bigl(}  \\\\ \\color{blue}\\bm{\\leftarrow -f_3}\\vphantom{\\Bigl(} \\\\ \\phantom{hline} \\vphantom{\\Bigl(} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"332\" style=\"vertical-align: -44px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2023374b9885dd33fe4d3c12e5a4de59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left( \\begin{array}{ccc|ccc}1 &amp; 0 &amp; 1 &amp; \\sfrac{2}{4} &amp; \\sfrac{2}{4} &amp; 0 \\\\[2ex] 0 &amp; 1 &amp; 0 &amp; -1 &amp; 1 &amp; -1 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; \\sfrac{6}{4} &amp; \\sfrac{-6}{4} &amp; 2 \\end{array} \\right) \\begin{array}{c} \\xrightarrow{f_1-f_3 }  \\\\[2ex] \\\\[2ex] &amp; \\end{array} \\left( \\begin{array}{ccc|ccc} 1 &amp; 0 &amp; 0 &amp; -1 &amp; 2 &amp; -2 \\\\[2ex] 0 &amp; 1 &amp; 0 &amp; -1 &amp; 1 &amp; -1 \\\\[2ex] 0 &amp; 0 &amp; 1 &amp; \\sfrac{6}{4} &amp; \\sfrac{-6}{4} &amp; 2   \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"524\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\u9006\u77e9\u9635\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0854e7cb80ba561b6e0c724a9a9b5fff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^{-1}= \\left(  \\begin{array}{ccc}  -1  &amp; 2 &amp; -2 \\\\[2ex]  -1 &amp; 1 &amp; -1 \\\\[2ex] \\sfrac{6}{4} &amp;\\sfrac{-6}{4} &amp; 2 \\end{array} \\bm{ \\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"207\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\u9006\u77e9\u9635\u7684\u5206\u6570\u53ef\u4ee5\u7b80\u5316\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6c7ef6b6cdca2f4a808ed9457bde3b3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{A^{-1}= \\left( } \\begin{array}{ccc}  \\bm{-1} &amp; \\bm{2}  &amp; \\bm{-2} \\\\[2ex]  \\bm{-1} &amp; \\bm{1} &amp; \\bm{-1} \\\\[2ex] \\sfrac{\\bm{3}}{\\bm{2}} &amp;\\sfrac{\\bm{-3}}{\\bm{2}} &amp; \\bm{2} \\end{array} \\bm{ \\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"96\" width=\"207\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-119\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\">\u9006\u77e9\u9635\u6027\u8d28<\/h2>\n<p>\u9006\u77e9\u9635\u5177\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a<\/p>\n<ul>\n<li>\u77e9\u9635\u7684\u9006\u77e9\u9635\u662f<span style=\"color:#1976d2;\"><strong>\u552f\u4e00\u7684<\/strong><\/span>\u3002<\/li>\n<\/ul>\n<ul>\n<li><span style=\"color:#1976d2;\"><strong>\u9006\u77e9\u9635\u7684\u9006<\/strong><\/span>\u5c31\u662f\u539f\u77e9\u9635\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-caac2cfeece17b627e46c7ec04020319_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(A^{-1}\\right)^{-1} = A\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"101\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e24\u4e2a\u77e9\u9635<span style=\"color:#1976d2;\"><strong>\u76f8\u4e58\u7684\u9006\u77e9\u9635<\/strong><\/span>\u7b49\u4e8e\u77e9\u9635\u9006\u77e9\u9635\u7684\u4e58\u79ef\uff0c\u4f46\u6539\u53d8\u4e86\u5b83\u4eec\u7684\u987a\u5e8f\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f0dd4094bdc2faa4449008d1d8ee8c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(A \\cdot B)^{-1} = B^{-1} \\cdot A^{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"171\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul>\n<li><span style=\"color:#1976d2;\"><strong>\u5bf9\u77e9\u9635\u8fdb\u884c\u8f6c\u7f6e<\/strong><\/span>\uff0c\u7136\u540e\u5bf9\u77e9\u9635\u6c42\u9006\uff0c\u5c31\u50cf\u5148\u5bf9\u77e9\u9635\u6c42\u9006\uff0c\u7136\u540e\u5bf9\u5b83\u8fdb\u884c\u8f6c\u7f6e\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f2dc6d83dd3d9b9dacec6e7806c9c0e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(A^t\\right)^{-1} = \\left(A^{-1}\\right)^{t}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"128\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e3a\u4e86\u6c42\u89e3<span style=\"color:#1976d2;\"><strong>\u77e9\u9635\u7684\u9006\u77e9\u9635\u7684\u884c\u5217\u5f0f\uff0c<\/strong><\/span>\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u77e9\u9635\u7684\u884c\u5217\u5f0f\uff0c\u7136\u540e\u5bf9\u5176\u6c42\u9006\uff0c\u56e0\u4e3a\u8fd9\u4e24\u4e2a\u8fd0\u7b97\u7ed9\u51fa\u76f8\u540c\u7684\u7ed3\u679c\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e32fcd8a6c25d8c863947e6cc31efdc6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle det\\left(A^{-1}\\right) =\\bigl( det(A) \\bigr) ^{-1} = \\cfrac{1}{det(A)}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"261\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\">\u5feb\u901f\u8ba1\u7b97 2&#215;2 \u77e9\u9635\u9006\u7684\u516c\u5f0f<\/h2>\n<p>\u6b63\u5982\u6211\u4eec\u6240\u89c1\uff0c\u4efb\u4f55\u77e9\u9635\u90fd\u53ef\u4ee5\u901a\u8fc7\u884c\u5217\u5f0f\u65b9\u6cd5\u6216\u9ad8\u65af\u65b9\u6cd5\u6c42\u9006\u3002\u4f46\u662f\uff0c\u53e6\u5916\u8fd8\u6709\u4e00\u4e2a<strong>\u516c\u5f0f\u53ef\u4ee5\u5feb\u901f\u627e\u5230 2\u00d72 \u77e9\u9635\u7684\u9006\u77e9\u9635<\/strong>\uff1a <\/p>\n<div class=\"wp-block-image estil_requadre_foto\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-matrice-inverse-22152.webp\" alt=\"\u6c42 2x2 \u77e9\u9635\u7684\u9006\u77e9\u9635\u7684\u516c\u5f0f\uff0c\u9006\u77e9\u9635\u516c\u5f0f 2x2\" class=\"wp-image-673\" width=\"475\" height=\"75\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u5982\u60a8\u6240\u89c1\uff0c\u6c42\u9006 2&#215;2 \u77e9\u9635\u5f88\u7b80\u5355\uff1a\u53ea\u9700\u6c42\u89e3\u77e9\u9635\u7684\u884c\u5217\u5f0f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3c046b53b17b87e9ca0f447d664754ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(|A|)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"35\" style=\"vertical-align: -5px;\"><\/p>\n<p>\uff0c\u4ea4\u66ff\u4e3b\u5bf9\u89d2\u7ebf\u5143\u7d20\u7684\u4f4d\u7f6e\uff0c\u5e76\u66f4\u6539\u6b21\u5bf9\u89d2\u7ebf\u5143\u7d20\u7684\u7b26\u53f7\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u5982\u4f55\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u83b7\u5f97 2 \u00d7 2 \u9006\u77e9\u9635\u7684\u793a\u4f8b<\/h3>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<p>\u8ba1\u7b97\u4ee5\u4e0b 2 \u00d7 2 \u65b9\u9635\u7684\u9006\u77e9\u9635\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-599baee27c05b5610a8714363e1260eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A = \\begin{pmatrix} 3 &amp; 5 \\\\[1.1ex] -2 &amp; -4 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"122\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u77e9\u9635 A \u7684\u884c\u5217\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ab99f7b87d01c670a8598df6364ab58f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A\\end{vmatrix} = \\begin{vmatrix} 3 &amp; 5 \\\\[1.1ex] -2 &amp; -4 \\end{vmatrix} &amp; = 3 \\cdot (-4)- (-2) \\cdot 5 \\\\ &amp; = -12-(-10) \\\\[2ex] &amp; =-12+10\\\\[2ex] &amp;=-2\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"160\" width=\"281\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u5e94\u7528<strong>\u9006\u77e9\u9635\u516c\u5f0f<\/strong>\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d5308484309da4485a3d9b92af86e7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A = \\begin{pmatrix} a &amp; b \\\\[1.1ex] c &amp; d \\end{pmatrix}\\longrightarrow A^{-1} = \\cfrac{1}{|A|} \\begin{pmatrix} d &amp; -b \\\\[1.1ex] -c &amp; a \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"305\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-68fd6e830b576af8abf55be1e11fbafb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A = \\begin{pmatrix} 3 &amp; 5 \\\\[1.1ex] -2 &amp; -4 \\end{pmatrix}\\longrightarrow A^{-1} = \\cfrac{1}{-2} \\begin{pmatrix} -4 &amp; -5 \\\\[1.1ex] 2 &amp; 3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"333\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u5c06\u77e9\u9635\u4e58\u4ee5\u5206\u6570\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41da8ef6bef1d339337717ed4ad86ae5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A^{-1} =\\begin{pmatrix} \\cfrac{-4}{-2} &amp; \\cfrac{-5}{-2} \\\\[3ex] \\cfrac{2}{-2} &amp; \\cfrac{3}{-2} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"163\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u9006\u77e9\u9635 A \u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-29da2a64f6da927857de112ca8363ba5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{A^{-1} =}\\begin{pmatrix} \\bm{2} &amp; \\cfrac{\\bm{5}}{\\bm{2}} \\\\[3ex] \\bm{-1} &amp; \\bm{-}\\cfrac{\\bm{3}}{\\bm{2}} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"143\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u4f7f\u7528\u6b64\u516c\u5f0f\u5bf9\u77e9\u9635\u6c42\u9006\u8981\u5feb\u5f97\u591a\uff0c\u4f46\u5b83\u53ea\u80fd\u7528\u4e8e\u7ef4\u5ea6\u4e3a 2&#215;2 \u7684\u77e9\u9635\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u7528\u4ee5\u4e0b\u516c\u5f0f\u89e3\u51b3 2\u00d72 \u9006\u77e9\u9635\u7684\u7ec3\u4e60<\/h3>\n<h4 class=\"wp-block-heading\">\u7ec3\u4e601<\/h4>\n<p>\u5bf9\u4ee5\u4e0b 2\u00d72 \u7ef4\u77e9\u9635\u6c42\u9006\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dc06e21fc1c3c54f9b3fc0dcd4912a8f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 2 &amp; 5 \\\\[1.1ex] 1 &amp; 3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u77e9\u9635 A \u7684\u884c\u5217\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1b0ae510ea7a336cbe5ea56a554da719_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A\\end{vmatrix} = \\begin{vmatrix} 2 &amp; 5 \\\\[1.1ex] 1 &amp; 3 \\end{vmatrix} &amp; = 2 \\cdot 3- 1 \\cdot 5 \\\\ &amp; = 6-5 \\\\[2ex] &amp; =1\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"118\" width=\"198\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u5e94\u7528\u516c\u5f0f\u6765\u6c42\u9006\u77e9\u9635\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d5308484309da4485a3d9b92af86e7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A = \\begin{pmatrix} a &amp; b \\\\[1.1ex] c &amp; d \\end{pmatrix}\\longrightarrow A^{-1} = \\cfrac{1}{|A|} \\begin{pmatrix} d &amp; -b \\\\[1.1ex] -c &amp; a \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"305\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b8f18178c829fd38360a04a947d52017_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A=\\begin{pmatrix} 2 &amp; 5 \\\\[1.1ex] 1 &amp; 3 \\end{pmatrix} \\longrightarrow A^{-1} = \\cfrac{1}{1} \\begin{pmatrix} 3 &amp; -5 \\\\[1.1ex] -1 &amp; 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"292\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u77e9\u9635 A \u7684\u9006\u77e9\u9635\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-237fe82cd91972f667f6751fa4735534_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{A^{-1} =}\\begin{pmatrix} \\bm{3} &amp; \\bm{-5} \\\\[1.1ex] \\bm{-1} &amp; \\bm{2} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"139\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h4 class=\"wp-block-heading\">\u7ec3\u4e602<\/h4>\n<p>\u8ba1\u7b97\u4ee5\u4e0b 2 \u9636\u77e9\u9635\u7684\u9006\u77e9\u9635\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f2289d1c5c9aeb87016f719305d900a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 2 &amp; 6 \\\\[1.1ex] -1 &amp; -2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"122\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u77e9\u9635 A \u7684\u884c\u5217\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a3fef2cc00702131123994cc588bf7ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A\\end{vmatrix} = \\begin{vmatrix} 2 &amp; 6 \\\\[1.1ex] -1 &amp; -2 \\end{vmatrix} &amp; = 2 \\cdot (-2)- (-1) \\cdot 6 \\\\ &amp; = -4-(-6) \\\\[2ex] &amp; =-4+6 \\\\[2ex] &amp; =2\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"160\" width=\"282\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u5e94\u7528\u516c\u5f0f\u6765\u6c42\u89e3 2\u00d72 \u7ef4\u7684\u9006\u77e9\u9635\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d5308484309da4485a3d9b92af86e7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A = \\begin{pmatrix} a &amp; b \\\\[1.1ex] c &amp; d \\end{pmatrix}\\longrightarrow A^{-1} = \\cfrac{1}{|A|} \\begin{pmatrix} d &amp; -b \\\\[1.1ex] -c &amp; a \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"305\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2de7166a0cf59e0f8c5b7750e1947f04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A=\\begin{pmatrix} 2 &amp; 6 \\\\[1.1ex] -1 &amp; -2 \\end{pmatrix} \\longrightarrow A^{-1} = \\cfrac{1}{2} \\begin{pmatrix} -2 &amp; -6 \\\\[1.1ex] 1 &amp; 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"319\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\u6211\u4eec\u8fdb\u884c\u4e58\u6cd5\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f6a5973078468914beb4bd4d85a40331_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A^{-1} = \\begin{pmatrix} \\cfrac{-2}{2} &amp; \\cfrac{-6}{2} \\\\[3ex] \\cfrac{1}{2} &amp; \\cfrac{2}{2} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"163\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a540a077ee9a24da96fa988410aef429_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{A^{-1} =}\\begin{pmatrix} \\bm{-1} &amp; \\bm{-3} \\\\[2ex] \\cfrac{\\bm{1}}{\\bm{2}} &amp; \\bm{1} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"76\" width=\"141\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h4 class=\"wp-block-heading\">\u7ec3\u4e603<\/h4>\n<p>\u53cd\u8f6c\u4ee5\u4e0b 2&#215;2 \u77e9\u9635\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36e230a808c42411a9cfd2d9eb44543d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} 4 &amp; 1 \\\\[1.1ex] 5 &amp; 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u77e9\u9635 A \u7684\u884c\u5217\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e7a6c5ef316ae51b43c90863c6245780_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A\\end{vmatrix} = \\begin{vmatrix} 4 &amp; 1 \\\\[1.1ex] 5 &amp; 2\\end{vmatrix} &amp; = 4 \\cdot 2 - 5 \\cdot 1 \\\\ &amp; = 8-5 \\\\[2ex] &amp;  =3\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"118\" width=\"198\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u5e94\u7528\u516c\u5f0f\u6765\u8ba1\u7b97\u7ef4\u5ea6\u4e3a 2\u00d72 \u7684\u9006\u77e9\u9635\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d5308484309da4485a3d9b92af86e7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A = \\begin{pmatrix} a &amp; b \\\\[1.1ex] c &amp; d \\end{pmatrix}\\longrightarrow A^{-1} = \\cfrac{1}{|A|} \\begin{pmatrix} d &amp; -b \\\\[1.1ex] -c &amp; a \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"305\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e2f359bd166c295b869a8cf04d927097_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A=\\begin{pmatrix} 4 &amp; 1 \\\\[1.1ex] 5 &amp; 2 \\end{pmatrix} \\longrightarrow A^{-1} = \\cfrac{1}{3} \\begin{pmatrix} 2 &amp; -1 \\\\[1.1ex] -5 &amp; 4 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"292\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\u6211\u4eec\u8ba1\u7b97\u5206\u6570\u548c\u77e9\u9635\u4e4b\u95f4\u7684\u4e58\u79ef\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a02ea2e547dcc21081ae80df407a4e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A^{-1} = \\begin{pmatrix} \\cfrac{\\bm{2}}{\\bm{3}} &amp; \\bm{-}\\cfrac{\\bm{1}}{\\bm{3}} \\\\[3ex] \\bm{-}\\cfrac{\\bm{5}}{\\bm{3}} &amp; \\cfrac{\\bm{4}}{\\bm{3}} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"147\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h4 class=\"wp-block-heading\">\u7ec3\u4e604<\/h4>\n<p>\u6c42\u4ee5\u4e0b\u4e8c\u9636\u77e9\u9635\u7684\u9006\u77e9\u9635\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-422fcd6f391a2682e4b546c9e9c05b55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} -2 &amp; 5 \\\\[1.1ex] -3 &amp; 10 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"117\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u77e9\u9635 A \u7684\u884c\u5217\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9e9997751e16d3b976454be828cb914d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A\\end{vmatrix} = \\begin{vmatrix} -2 &amp; 5 \\\\[1.1ex] -3 &amp; 10\\end{vmatrix} &amp; = (-2) \\cdot 10- (-3) \\cdot 5 \\\\ &amp; = -20-(-15) \\\\[2ex] &amp; =-20+15 \\\\[2ex] &amp; =-5\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"160\" width=\"285\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u5e94\u7528\u516c\u5f0f\u6765\u521b\u5efa\u7ef4\u5ea6\u4e3a 2\u00d72 \u7684\u9006\u77e9\u9635\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7d5308484309da4485a3d9b92af86e7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A = \\begin{pmatrix} a &amp; b \\\\[1.1ex] c &amp; d \\end{pmatrix}\\longrightarrow A^{-1} = \\cfrac{1}{|A|} \\begin{pmatrix} d &amp; -b \\\\[1.1ex] -c &amp; a \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"305\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7c0c614039614bd9125b2920da8698eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A=\\begin{pmatrix} -2 &amp; 5 \\\\[1.1ex] -3 &amp; 10\\end{pmatrix} \\longrightarrow A^{-1} = \\cfrac{1}{-5} \\begin{pmatrix} 10 &amp; -5 \\\\[1.1ex] 3 &amp; -2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"323\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\u6211\u4eec\u8fdb\u884c\u4e58\u6cd5\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-edb1dfc870b3045eaefc1716a80e2ca2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A^{-1} = \\begin{pmatrix} \\cfrac{10}{-5} &amp; \\cfrac{-5}{-5} \\\\[3ex] \\cfrac{3}{-5} &amp; \\cfrac{-2}{-5} \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"155\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c49e161c701254cfbe20353c11980eb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{A^{-1} =}\\begin{pmatrix} \\bm{-2} &amp; \\bm{1} \\\\[2ex] \\bm{-}\\cfrac{\\bm{3}}{\\bm{5}} &amp; \\cfrac{\\bm{2}}{\\bm{5}} \\ \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"76\" width=\"137\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h2 class=\"wp-block-heading\">\u7528\u9006\u77e9\u9635\u6c42\u89e3\u65b9\u7a0b\u7ec4<\/h2>\n<p>\u7406\u89e3\u77e9\u9635\u9006\u7684\u5b9e\u9645\u5e94\u7528\u662f\u5f88\u56f0\u96be\u7684\u3002\u4e8b\u5b9e\u4e0a\uff0c\u60a8\u53ef\u80fd\u60f3\u77e5\u9053&#8230;&#8230;\u9006\u77e9\u9635\u6709\u4ec0\u4e48\u7528\uff1f\u5b83\u771f\u7684\u6709\u4ec0\u4e48\u7528\u9014\u5417\uff1f<\/p>\n<p>\u55ef\uff0c\u9006\u77e9\u9635\u7684\u7528\u9014\u4e4b\u4e00\u662f<strong>\u6c42\u89e3\u7ebf\u6027\u65b9\u7a0b\u7ec4<\/strong>\u3002\u662f\u7684\uff0c\u5c3d\u7ba1\u5b83\u4eec\u770b\u8d77\u6765\u50cf\u662f\u4e24\u4e2a\u622a\u7136\u4e0d\u540c\u7684\u6982\u5ff5\uff0c\u4f46\u53ef\u4ee5\u901a\u8fc7\u77e9\u9635\u6c42\u9006\u6765\u627e\u5230\u65b9\u7a0b\u7ec4\u7684\u89e3\u3002<\/p>\n<p>\u8ba9\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u6765\u770b\u770b\u8fd9\u662f\u5982\u4f55\u5b8c\u6210\u7684\uff1a<\/p>\n<ul>\n<li>\u4f7f\u7528\u9006\u77e9\u9635\u8ba1\u7b97\u4ee5\u4e0b\u65b9\u7a0b\u7ec4\u7684\u89e3\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-200c0f994f86752e7d650621a0d4100f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{r} x+3y=5 \\\\[2ex] 2x+4y=6 \\end{array} \\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"112\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u9996\u5148\uff0c\u5fc5\u987b\u89c2\u5bdf\u5230\u65b9\u7a0b\u7ec4\u53ef\u4ee5\u7528\u77e9\u9635\u7684\u5f62\u5f0f\u8868\u793a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b9c9f181fc16a501799145c516a9747_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 1 &amp; 3 \\\\[1.1ex] 2 &amp; 4 \\end{pmatrix}\\begin{pmatrix} x \\\\[1.1ex]y \\end{pmatrix} = \\begin{pmatrix} 5 \\\\[1.1ex] 6 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"156\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u53ef\u4ee5\u9a8c\u8bc1\u7cfb\u7edf\u7684\u8fd9\u79cd\u77e9\u9635\u5f62\u5f0f\u4e0e\u65b9\u7a0b\u7684\u8868\u8fbe\u5f0f\u7b49\u6548\uff1a\u5982\u679c\u6211\u4eec\u5c06\u77e9\u9635\u76f8\u4e58\uff0c\u6211\u4eec\u5c06\u770b\u5230\u6211\u4eec\u5f97\u5230\u7cfb\u7edf\u7684\u4e24\u4e2a\u65b9\u7a0b\u3002<\/p>\n<p>\u73b0\u5728\uff0c\u4e3a\u4e86\u7b80\u5316\u540e\u7eed\u6b65\u9aa4\uff0c\u6211\u4eec\u5c06\u8c03\u7528<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5177\u6709\u672a\u77e5\u6570\u7cfb\u6570\u7684\u77e9\u9635\uff0c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d4ee28752517d6062a3ca0314890342d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5230\u5177\u6709\u672a\u77e5\u6570\u7684\u77e9\u9635\u5217\uff0c\u4ee5\u53ca<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5230\u5177\u6709\u72ec\u7acb\u9879\u7684\u5217\u77e9\u9635\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ec1e9c04147230526534e694fb54f316_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle AX=B\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"67\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6240\u4ee5\u77e9\u9635<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d4ee28752517d6062a3ca0314890342d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u77e9\u9635\u65b9\u7a0b\u7684\u672a\u77e5\u6570\u3002<\/p>\n<p>\u8981\u6c42\u89e3\u6b64\u77e9\u9635\u65b9\u7a0b\uff0c\u60a8\u5fc5\u987b\u9075\u5faa\u6211\u4eec\u5728\u6b64\u4e0d\u8be6\u7ec6\u89e3\u91ca\u7684\u8fc7\u7a0b\u3002\u5982\u679c\u4f60\u60f3\u5b8c\u5168\u7406\u89e3\u5b83\uff0c\u4f60\u53ef\u4ee5\u67e5\u770b\u5982\u4f55\u7528<a href=\"https:\/\/mathority.org\/cn\/\u5982\u4f55\u6c42\u89e3-2x2-\u548c-3x3-\u77e9\u9635\u7684\u77e9\u9635\u65b9\u7a0b\u793a\u4f8b\u548c\u6c42\u89e3\u7ec3\u4e60\/\">\u77e9\u9635\u6c42\u89e3\u65b9\u7a0b<\/a>\uff0c\u6211\u4eec\u4e00\u6b65\u6b65\u89e3\u91ca\u6574\u4e2a\u8fc7\u7a0b\u3002<\/p>\n<p>\u6b64\u8fc7\u7a0b\u57fa\u4e8e\u9006\u77e9\u9635\u7684\u5c5e\u6027\uff1a\u4efb\u4f55\u77e9\u9635\u4e58\u4ee5\u5176\u9006\u77e9\u9635\u90fd\u7b49\u4e8e\u5355\u4f4d\uff08\u6216\u5355\u4f4d\uff09\u77e9\u9635\u3002\u56e0\u6b64\uff0c\u672a\u77e5\u77e9\u9635\u53ef\u4ee5\u5f88\u5bb9\u6613\u5730\u6c42\u89e3<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d4ee28752517d6062a3ca0314890342d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5c06\u65b9\u7a0b\u4e24\u8fb9\u540c\u65f6\u4e58\u4ee5\u77e9\u9635 A \u7684\u9006\u77e9\u9635\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ec1e9c04147230526534e694fb54f316_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle AX=B\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"67\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e20a8dfa638cb0fa47765a784dc47a61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1}\\cdot AX=A^{-1}\\cdot B\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"156\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-218f48c32d9bfd298c1e9559e8059a82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle IX=A^{-1}\\cdot B\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"107\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-acfded1a5d11f4b183ac34c85df906fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle X=A^{-1}\\cdot B\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"98\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4e00\u65e6\u6211\u4eec\u5206\u79bb\u51fa\u77e9\u9635<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d4ee28752517d6062a3ca0314890342d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p>\uff0c\u6211\u4eec\u8ba1\u7b97\u7684\u5012\u6570<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u6211\u4eec\u6c42\u89e3\u77e9\u9635\u7684\u4e58\u79ef\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a1290e37a9e3f56fc6b288bc7686d66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle X=\\left.\\begin{pmatrix} 1 &amp; 3 \\\\[1.1ex] 2 &amp; 4 \\end{pmatrix}\\right.^{-1}\\cdot \\begin{pmatrix} 5 \\\\[1.1ex] 6 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"58\" width=\"170\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-21471fc8a4c04aac3121519e8ef874e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle X=\\cfrac{1}{-2} \\begin{pmatrix} 4 &amp; -3 \\\\[1.1ex] -2 &amp; 1 \\end{pmatrix}\\cdot \\begin{pmatrix} 5 \\\\[1.1ex] 6 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"202\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b9457fedf68c4bdfea898922e465eeb8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle X= \\begin{pmatrix} -1 \\\\[1.1ex] 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"86\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u65b9\u7a0b\u7ec4\u7684\u89e3\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c2748b49f967580a0871d8739ee0d4f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{x=-1} \\qquad \\bm{y=2}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"133\" style=\"vertical-align: -4px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u9875\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3\u5b83\u662f\u4ec0\u4e48\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u884c\u5217\u5f0f\uff08\u6216\u4f34\u968f\u77e9\u9635\uff09\u65b9\u6cd5\u548c\u9ad8\u65af\u65b9\u6cd5\u8ba1\u7b97\u77e9\u9635\u7684\u9006\u3002\u60a8\u8fd8\u5c06\u770b\u5230\u9006\u77e9\u9635\u7684\u6240\u6709\u5c5e &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e9%80%86%e7%9f%a9%e9%98%b5\/\"> <span class=\"screen-reader-text\">\u5982\u4f55\u8ba1\u7b97\u9006\u77e9\u9635<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[7],"tags":[],"class_list":["post-66","post","type-post","status-publish","format-standard","hentry","category-7"],"yoast_head":"<!-- This site is optimized 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