{"id":326,"date":"2023-07-06T04:44:28","date_gmt":"2023-07-06T04:44:28","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%a5%87%e5%bc%82%e6%88%96%e7%ae%80%e5%b9%b6%e7%9f%a9%e9%98%b5\/"},"modified":"2023-07-06T04:44:28","modified_gmt":"2023-07-06T04:44:28","slug":"%e5%a5%87%e5%bc%82%e6%88%96%e7%ae%80%e5%b9%b6%e7%9f%a9%e9%98%b5","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%a5%87%e5%bc%82%e6%88%96%e7%ae%80%e5%b9%b6%e7%9f%a9%e9%98%b5\/","title":{"rendered":"\u5947\u5f02\u6216\u7b80\u5e76\u77e9\u9635"},"content":{"rendered":"<p>\u5728\u672c\u9875\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3\u5947\u5f02\u77e9\u9635\u6216\u7b80\u5e76\u77e9\u9635\u7684\u542b\u4e49\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u5411\u60a8\u5c55\u793a\u4e86\u51e0\u4e2a\u793a\u4f8b\uff0c\u4ee5\u4fbf\u60a8\u6ca1\u6709\u7591\u95ee\uff0c\u6700\u540e\uff0c\u6211\u4eec\u89e3\u91ca\u4e86\u6b64\u7c7b\u77e9\u9635\u7684\u6240\u6709\u5c5e\u6027\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u4ec0\u4e48\u662f\u5947\u5f02\u77e9\u9635\u6216\u7b80\u5e76\u77e9\u9635\uff1f<\/h2>\n<p>\u5947\u5f02\u77e9\u9635\uff0c\u4e5f\u79f0\u4e3a\u7b80\u5e76\u77e9\u9635\uff0c\u5b9a\u4e49\u5982\u4e0b\uff1a<\/p>\n<p class=\"has-background\" style=\"background-color:#dff6ff\"><strong>\u5947\u5f02\u77e9\u9635\u6216\u7b80\u5e76\u77e9\u9635<\/strong>\u662f\u4e0d\u53ef\u9006\u7684\u65b9\u9635\uff0c\u56e0\u6b64\u5176\u884c\u5217\u5f0f\u7b49\u4e8e0\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u8981\u77e5\u9053<strong>\u4e00\u4e2a\u77e9\u9635\u4f55\u65f6\u662f\u5947\u5f02\u7684\uff0c<\/strong>\u53ea\u9700\u8ba1\u7b97\u5b83\u7684\u884c\u5217\u5f0f\uff1a\u5982\u679c\u7ed3\u679c\u4e3a0\uff0c\u5219\u8be5\u77e9\u9635\u662f\u5947\u5f02\u7684\uff0c\u53cd\u4e4b\uff0c\u5982\u679c\u884c\u5217\u5f0f\u4e0d\u4e3a0\uff0c\u5219\u8be5\u77e9\u9635\u4e0d\u662f\u5947\u5f02\u7684\u3002<\/p>\n<p>\u5982\u679c\u60a8\u60f3\u4e86\u89e3\u66f4\u591a\u6709\u5173\u9006\u77e9\u9635\u7684\u4fe1\u606f\uff0c\u53ef\u4ee5\u53c2\u8003\u6b64\u9875\u9762\uff0c\u5176\u4e2d\u8be6\u7ec6\u89e3\u91ca\u4e86<a href=\"https:\/\/mathority.org\/cn\/\u9006\u77e9\u9635\/\">\u5982\u4f55\u4f7f\u7528\u9ad8\u65af\u65b9\u6cd5\u6c42\u9006\u77e9\u9635<\/a>\uff0c\u60a8\u8fd8\u4f1a\u627e\u5230\u51e0\u4e2a\u793a\u4f8b\u548c\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u6765\u7ec3\u4e60\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u5947\u5f02\u77e9\u9635\u4e5f\u79f0\u4e3a\u975e\u6b63\u5219\u77e9\u9635\uff0c\u56e0\u4e3a\u5b83\u4eec\u7684\u542b\u4e49\u4e0e<a href=\"https:\/\/mathority.org\/cn\/\u4ec0\u4e48\u65f6\u5019-\u662f\u6b63\u5219\u77e9\u9635\u6216\u53ef\u9006\u77e9\u9635-\u793a\u4f8b\u548c\u5c5e\u6027\/\">\u6b63\u5219\u77e9\u9635<\/a>\u6b63\u597d\u76f8\u53cd\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u5947\u5f02\u77e9\u9635\u7684\u793a\u4f8b<\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u4e86\u89e3\u4e86\u5947\u5f02\u77e9\u9635\u6216\u7b80\u5e76\u77e9\u9635\u7684\u89e3\u91ca\uff0c\u8ba9\u6211\u4eec\u770b\u4e00\u4e9b\u5177\u6709\u591a\u4e2a\u7ef4\u5ea6\u7684\u5947\u5f02\u77e9\u9635\u7684\u793a\u4f8b\uff1a<\/p>\n<h3 class=\"wp-block-heading\"> 2\u00d72 \u5947\u5f02\u77e9\u9635\u7684\u793a\u4f8b<\/h3>\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\/exemple-de-matrice-singuliere-ou-degeneree-de-dimension-22152-1.webp\" alt=\"\u7ef4\u5ea6\u4e3a 2x2 \u7684\u5947\u5f02\u77e9\u9635\u6216\u7b80\u5e76\u77e9\u9635\u7684\u793a\u4f8b\" class=\"wp-image-3393\" width=\"68\" height=\"68\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u8ba1\u7b97\u5b83\u7684\u884c\u5217\u5f0f\u5f88\u5bb9\u6613\u5730\u9a8c\u8bc1\u5b83\u662f\u4e00\u4e2a\u5947\u5f02\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-2e8466c3a7108986306c5e06a6b49049_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{vmatrix} 2&amp;1 \\\\[1.1ex] 4 &amp; 2\\end{vmatrix}\\bm{=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"74\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> 2\u9636\u77e9\u9635\u7684\u884c\u5217\u5f0f\u7b49\u4e8e0\uff0c\u56e0\u6b64\u662f\u5947\u5f02\u77e9\u9635\u3002<\/p>\n<h3 class=\"wp-block-heading\"> 3 \u00d7 3 \u5947\u5f02\u77e9\u9635\u793a\u4f8b<\/h3>\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\/exemple-de-matrice-singuliere-ou-degeneree-de-dimension-32153-1.webp\" alt=\"\u7ef4\u5ea6\u4e3a 3x3 \u7684\u5947\u5f02\u77e9\u9635\u6216\u7b80\u5e76\u77e9\u9635\u7684\u793a\u4f8b\" class=\"wp-image-3397\" width=\"98\" height=\"102\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6211\u4eec\u5fc5\u987b\u6c42\u89e3\u77e9\u9635\u7684\u884c\u5217\u5f0f\u6765\u9a8c\u8bc1\u5b83\u662f\u4e00\u4e2a\u4e0d\u53ef\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-1aebdc318be6773a6d4d78e9fcedaf5d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{vmatrix} 1&amp;3&amp;0\\\\[1.1ex] 4&amp;7&amp;2\\\\[1.1ex] 3&amp;4&amp;2\\end{vmatrix}\\bm{=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"99\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> 3 \u9636\u77e9\u9635\u7684\u884c\u5217\u5f0f\u4e3a 0\uff0c\u56e0\u6b64\u5b83\u662f\u5947\u5f02\u77e9\u9635\u3002<\/p>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<h3 class=\"wp-block-heading\"> 4 \u00d7 4 \u5947\u5f02\u77e9\u9635\u793a\u4f8b<\/h3>\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\/exemple-de-matrice-singuliere-ou-degeneree-de-dimension-42154-1.webp\" alt=\"\u7ef4\u5ea6\u4e3a 4x4 \u7684\u5947\u5f02\u77e9\u9635\u6216\u7b80\u5e76\u77e9\u9635\u7684\u793a\u4f8b\" class=\"wp-image-3400\" width=\"195\" height=\"132\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u901a\u8fc7\u786e\u5b9a\u77e9\u9635\u7684\u884c\u5217\u5f0f\uff0c\u6211\u4eec\u53ef\u4ee5\u8bc1\u660e\u5b83\u662f\u5947\u5f02\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-0ad6c7444321a65bb993c2abc87f93a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{vmatrix} 2&amp;1&amp;4&amp;-1\\\\[1.1ex] 3&amp;-2&amp;1&amp;0\\\\[1.1ex] 5&amp;1&amp;-3&amp;2\\\\[1.1ex] -1&amp;3&amp;3&amp;-1\\end{vmatrix}\\bm{=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"180\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> 4\u9636\u77e9\u9635\u7684\u884c\u5217\u5f0f\u4e3a\u96f6\uff0c\u56e0\u6b64\u5176\u9006\u77e9\u9635\u4e0d\u5b58\u5728\u3002<\/p>\n<p class=\"has-background\" style=\"background-color:#fffde7\"><strong>\u8b66\u544a\uff1a<\/strong>\u5982\u679c\u60a8\u5bf9\u884c\u5217\u5f0f\u7684\u8ba1\u7b97\u6709\u7591\u95ee\uff0c\u53ef\u4ee5\u67e5\u9605<a href=\"https:\/\/mathority.org\/cn\" rel=\"nofollow\">\u5982\u4f55\u8ba1\u7b97\u884c\u5217\u5f0f<\/a>\u9875\u9762\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u5947\u5f02\u77e9\u9635\u7684\u6027\u8d28<\/h2>\n<p>\u6b64\u7c7b\u77e9\u9635\u7684\u7279\u70b9\u5982\u4e0b\uff1a<\/p>\n<ul>\n<li>\u5947\u5f02\u77e9\u9635\u7684\u81f3\u5c11\u4e24\u5217\u6216\u4e24\u884c\u662f\u7ebf\u6027\u7ec4\u5408\u5e76\u4e14\u662f\u7ebf\u6027\u76f8\u5173\u7684\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u4efb\u4f55\u5305\u542b\u7528\u96f6\u586b\u5145\u7684\u884c\u6216\u5217\u7684\u77e9\u9635\u90fd\u662f\u5947\u5f02\u77e9\u9635\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u5947\u5f02\u6216\u7b80\u5e76\u77e9\u9635\u7684\u79e9\u5c0f\u4e8e\u5176\u5927\u5c0f\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u5947\u5f02\u77e9\u9635\u4e58\u4ee5\u4efb\u4f55\u5176\u4ed6\u77e9\u9635\u7684\u77e9\u9635\u4e58\u79ef\u7ed9\u51fa\u53e6\u4e00\u4e2a\u5947\u5f02\u77e9\u9635\u3002\u8fd9\u4e2a\u6761\u4ef6\u53ef\u4ee5\u4ece\u884c\u5217\u5f0f\u7684\u6027\u8d28\u63a8\u5bfc\u51fa\u6765\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-9b7c7e6f9873e3d41b0171cc76380be5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{det}(AB) = \\text{det}(A) \\cdot \\text{det}(B)=0 \\cdot \\text{det}(B) = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"338\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u540c\u6837\uff0c\u4e00\u4e2a\u5947\u5f02\u77e9\u9635\u7684\u5e42\u7b49\u4e8e\u53e6\u4e00\u4e2a\u5947\u5f02\u77e9\u9635\uff0c\u65e0\u8bba\u5b83\u7684\u5e42\u662f\u591a\u5c11\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u5947\u5f02\u77e9\u9635\u7684\u8f6c\u7f6e\u4ea7\u751f\u53e6\u4e00\u4e2a\u5947\u5f02\u77e9\u9635\uff0c\u56e0\u4e3a\u8f6c\u7f6e\uff08\u6216\u8f6c\u7f6e\uff09\u77e9\u9635\u7684\u884c\u5217\u5f0f\u7b49\u4ef7\u4e8e\u975e\u8f6c\u7f6e\u77e9\u9635\u7684\u884c\u5217\u5f0f\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-1f612a114c9aeca3df37e6f267ba12b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{det}(A^t) = \\text{det}(A)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"165\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5c06\u5947\u5f02\u77e9\u9635\u4e58\u4ee5\u6807\u91cf\u4e0d\u4f1a\u6539\u53d8\u5176\u4f5c\u4e3a\u7b80\u5e76\u77e9\u9635\u7684\u72b6\u6001\u3002<\/li>\n<\/ul>\n<ul>\n<li> <a href=\"https:\/\/mathority.org\/cn\/\u77e9\u9635\u5c0f\u4f34\u968f\u7269\u548c\u4e92\u8865\u4f34\u968f\u7269\u7684\u793a\u4f8b\u4ee5\u53ca\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\/\">\u5947\u5f02\u77e9\u9635\u7684\u4f34\u968f<\/a>\u4e5f\u662f\u5947\u5f02\u7684\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u5982\u679c\u4e09\u89d2\u77e9\u9635\u548c\u5bf9\u89d2\u77e9\u9635\u7684\u4e3b\u5bf9\u89d2\u7ebf\u81f3\u5c11\u6709\u4e00\u4e2a\u5143\u7d20\u4e3a\u96f6\uff0c\u5219\u5b83\u4eec\u662f\u7b80\u5e76\u77e9\u9635\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u663e\u7136\uff0c\u96f6\u77e9\u9635\u662f\u5947\u5f02\u77e9\u9635\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u540c\u7406\uff0c\u5e42\u96f6\u77e9\u9635\u4e5f\u662f\u5947\u5f02\u77e9\u9635\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u4e0e\u5947\u5f02\u77e9\u9635\u76f8\u5173\u7684\u7ebf\u6027\u65b9\u7a0b\u7ec4\u65e0\u89e3\u6216\u6709\u65e0\u7a77\u591a\u4e2a\u89e3\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u6700\u540e\uff0c\u65b9\u9635\u662f\u5947\u5f02\u7684\u5f53\u4e14\u4ec5\u5f53\u5b83\u81f3\u5c11\u6709\u4e00\u4e2a\u7279\u5f81\u503c\uff08\u6216\u7279\u5f81\u503c\uff09\u7b49\u4e8e0\u3002<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u9875\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3\u5947\u5f02\u77e9\u9635\u6216\u7b80\u5e76\u77e9\u9635\u7684\u542b\u4e49\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u5411\u60a8\u5c55\u793a\u4e86\u51e0\u4e2a\u793a\u4f8b\uff0c\u4ee5\u4fbf\u60a8\u6ca1\u6709\u7591\u95ee\uff0c\u6700\u540e\uff0c\u6211\u4eec\u89e3\u91ca\u4e86\u6b64 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%a5%87%e5%bc%82%e6%88%96%e7%ae%80%e5%b9%b6%e7%9f%a9%e9%98%b5\/\"> <span class=\"screen-reader-text\">\u5947\u5f02\u6216\u7b80\u5e76\u77e9\u9635<\/span> \u67e5\u770b\u5168\u6587 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