{"id":286,"date":"2023-07-06T20:03:12","date_gmt":"2023-07-06T20:03:12","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e8%a1%8c%e5%88%97%e5%bc%8f%e7%9a%84%e6%80%a7%e8%b4%a8-%e7%a4%ba%e4%be%8b%e5%92%8c%e7%bb%83%e4%b9%a0-2x2-3x3\/"},"modified":"2023-07-06T20:03:12","modified_gmt":"2023-07-06T20:03:12","slug":"%e8%a1%8c%e5%88%97%e5%bc%8f%e7%9a%84%e6%80%a7%e8%b4%a8-%e7%a4%ba%e4%be%8b%e5%92%8c%e7%bb%83%e4%b9%a0-2x2-3x3","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e8%a1%8c%e5%88%97%e5%bc%8f%e7%9a%84%e6%80%a7%e8%b4%a8-%e7%a4%ba%e4%be%8b%e5%92%8c%e7%bb%83%e4%b9%a0-2x2-3x3\/","title":{"rendered":"\u9650\u5b9a\u8bcd\u7684\u6027\u8d28"},"content":{"rendered":"<p>\u5728\u672c\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u4e86\u89e3<strong>\u884c\u5217\u5f0f\u7684\u6240\u6709\u5c5e\u6027<\/strong>\u662f\u4ec0\u4e48\u3002\u6211\u4eec\u8fd8\u901a\u8fc7\u793a\u4f8b\u6f14\u793a\u4e86\u6bcf\u4e2a\u5c5e\u6027\uff0c\u4ee5\u4fbf\u60a8\u5b8c\u5168\u7406\u89e3\u5b83\u4eec\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u4f1a\u627e\u5230\u4e0e\u9650\u5b9a\u8bcd\u5c5e\u6027\u76f8\u5173\u7684\u7ec3\u4e60\u3002<\/p>\n<p>\u4e0b\u9762\u6211\u4eec\u5c06\u4e00\u4e00\u89e3\u91ca\u884c\u5217\u5f0f\u7684\u6bcf\u4e2a\u5c5e\u6027\uff0c\u4f46\u5982\u679c\u60a8\u613f\u610f\uff0c\u53ef\u4ee5\u76f4\u63a5\u8df3\u5230\u4e0b\u9762\u7684<strong>\u6c47\u603b\u8868<\/strong>\u3002 \ud83d\ude09<\/p>\n<h2 class=\"wp-block-heading\">\u6027\u8d281\uff1a\u8f6c\u7f6e\u77e9\u9635\u7684\u884c\u5217\u5f0f<\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-109\"><\/div>\n<\/div>\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\">\u77e9\u9635\u7684\u884c\u5217\u5f0f\u7b49\u4ef7\u4e8e\u5176\u8f6c\u7f6e\u77e9\u9635\u7684\u884c\u5217\u5f0f\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-2f3228b0db84cb6cff32c1157107dfd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert A \\rvert = \\lvert A^t \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<h3 style=\"color:#00B0FF\">\u4f8b\u5b50\uff1a<\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7e39b73d52e436c660c2c9f2eeed39f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert A \\rvert =  \\begin{vmatrix} 2 &amp; 3 \\\\[1.1ex] 1 &amp; 5  \\end{vmatrix} =  2 \\cdot 5 - 1 \\cdot 3 = 10 - 3 = \\bm{7}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"301\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u8f6c\u7f6e 2&#215;2 \u77e9\u9635\u5e76\u6c42\u89e3\u884c\u5217\u5f0f\u3002\u8bf7\u6ce8\u610f\uff0c\u6211\u4eec\u83b7\u5f97\u4e86\u4e0e\u4e4b\u524d\u76f8\u540c\u7684\u7ed3\u679c\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-fc16abe425fb139cb3a6b7ba7e3b1915_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert A^t \\rvert =  \\begin{vmatrix} 2 &amp; 1 \\\\[1.1ex] 3 &amp; 5  \\end{vmatrix} =  2 \\cdot 5 - 3 \\cdot 1 = 10 - 3 = \\bm{7}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"307\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\">\u6027\u8d28 2\uff1a\u884c\u5217\u5f0f\u6216\u884c\u5217\u7528\u96f6\u586b\u5145\u7684\u884c\u5217\u5f0f<\/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\">\u5982\u679c\u884c\u5217\u5f0f\u7684\u884c\u6216\u5217\u586b\u6ee1\u4e86\u96f6\uff0c\u5219\u884c\u5217\u5f0f\u8fd4\u56de 0\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-54df933d2167697d926c25dd9554d90a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} a_{11} &amp; 0 &amp; a_{13} \\\\[1.1ex] a_{21} &amp; 0 &amp; a_{23} \\\\[1.1ex] a_{31} &amp; 0 &amp; a_{33}\\end{vmatrix}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"132\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<h3 style=\"color:#00B0FF\">\u4f8b\u5b50\uff1a<\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-95bc2d762871764f41176acc052a633c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} 5 &amp; 6 &amp; 2 \\\\[1.1ex] 0 &amp; 0 &amp; 0 \\\\[1.1ex] -3 &amp; 1 &amp; 4 \\end{vmatrix}   =  \\bm{0} \\qquad \\qquad \\begin{vmatrix} 1 &amp; -5 &amp; 0 \\\\[1.1ex] 6 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp; 3 &amp; 0 \\end{vmatrix} = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5728\u8fd9\u4e24\u4e2a\u793a\u4f8b\u4e2d\uff0c\u884c\u5217\u5f0f\u7684\u8ba1\u7b97\u7ed3\u679c\u5747\u4e3a 0\u3002\u56e0\u4e3a\u7b2c\u4e00\u4e2a\u884c\u5217\u5f0f\u7684\u7b2c\u4e8c\u884c\u5168\u4e3a\u96f6\uff0c\u7b2c\u4e8c\u4e2a\u884c\u5217\u5f0f\u7684\u7b2c\u4e09\u5217\u4e5f\u5168\u96f6\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u6027\u8d283\uff1a\u5177\u6709\u4e24\u4e2a\u76f8\u7b49\u7684\u884c\u6216\u5217\u7684\u884c\u5217\u5f0f<\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-110\"><\/div>\n<\/div>\n<p class=\"has-background\" style=\"background-color:#dff6ff\">\u5982\u679c\u884c\u5217\u5f0f\u5177\u6709\u4e24\u4e2a\u76f8\u7b49\u6216\u591a\u884c\u6216\u4e24\u5217\uff0c\u5219\u884c\u5217\u5f0f\u4e3a\u96f6 (0)\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u5982\u679c\u884c\u6216\u5217\u4e4b\u95f4\u5b58\u5728\u7ebf\u6027\u7ec4\u5408\uff0c\u5373\u5b83\u4eec\u662f\u7ebf\u6027\u76f8\u5173\u7684\uff0c\u5219\u884c\u5217\u5f0f\u7ed9\u51fa0\u3002<\/p>\n<h3 style=\"color:#00B0FF\">\u4f8b\u5b50\uff1a<\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c31b59570d4f89e8c7e7aa9f922977c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} 3 &amp; 4 &amp; 4 \\\\[1.1ex] -1 &amp; 5 &amp; 5 \\\\[1.1ex] 6 &amp; 2 &amp; 2 \\end{vmatrix} =  0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"117\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5728\u672c\u4f8b\u4e2d\uff0c\u884c\u5217\u5f0f\u7ed9\u51fa 0\uff0c\u56e0\u4e3a\u7b2c 2 \u5217\u548c\u7b2c 3 \u5217\u76f8\u7b49\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u5c5e\u60274\uff1a\u4fee\u6539\u884c\u5217\u5f0f\u7684\u884c\u6216\u5217<\/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\">\u5982\u679c\u4e24\u884c\u6216\u4e24\u5217\u76f8\u5bf9\u4e8e\u5f7c\u6b64\u4fee\u6539\uff0c\u5219\u884c\u5217\u5f0f\u7ed9\u51fa\u76f8\u540c\u7684\u7ed3\u679c\u4f46\u5177\u6709\u4e0d\u540c\u7684\u7b26\u53f7\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-de79fc53e94c9a30d8a271d42d4e3494_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} a &amp; b &amp; c \\\\[1.1ex] d &amp; e &amp; f \\\\[1.1ex] g &amp; h &amp; i \\end{vmatrix}= - \\begin{vmatrix} a &amp; c &amp; b \\\\[1.1ex] d &amp; f &amp; e \\\\[1.1ex] g &amp; i &amp; h \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"185\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<h3 style=\"color:#00B0FF\">\u4f8b\u5b50\uff1a<\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c2e4806318fa67998b339383a9dc9ea5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} 3 &amp; 2 &amp; -4 \\\\[1.1ex] 1 &amp; 5 &amp; 6 \\\\[1.1ex] 1 &amp; 0 &amp; -3 \\end{vmatrix} = \\displaystyle -45 +12+0+20-0+6=  \\bm{-7}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"357\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u66f4\u6539\u7b2c 2 \u5217\u548c\u7b2c 3 \u5217\u76f8\u5bf9\u4e8e\u5f7c\u6b64\u7684\u987a\u5e8f\u3002\u8bf7\u6ce8\u610f\uff0c\u7ed3\u679c\u76f8\u540c\u4f46\u7b26\u53f7\u4e0d\u540c\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-4a4de8b8cf37df2c3cce69d16a19a578_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} 3 &amp; -4 &amp; 2 \\\\[1.1ex] 1 &amp; 6 &amp; 5 \\\\[1.1ex] 1 &amp; -3 &amp; 0 \\end{vmatrix}   = \\displaystyle 0-20-6-12+45-0=  \\bm{+7}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"343\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\">\u6027\u8d28 5\uff1a\u884c\u5217\u5f0f\u4e58\u4ee5\u6807\u91cf<\/h2>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\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\">\u5c06\u6574\u884c\u6216\u6574\u5217\u4e2d\u7684\u6240\u6709\u5143\u7d20\u4e58\u4ee5\u5b9e\u6570\u4e0e\u5c06\u884c\u5217\u5f0f\u7684\u7ed3\u679c\u4e58\u4ee5\u8be5\u6570\u76f8\u540c\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-06cf5f62a3d703b43bb68b319839df26_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} k \\cdot a_{11} &amp;  k \\cdot a_{12} &amp; k \\cdot a_{13} \\\\[1.1ex] a_{21} &amp;  a_{22} &amp; a_{23} \\\\[1.1ex] a_{31} &amp;  a_{32} &amp; a_{33} \\end{vmatrix} =k \\cdot \\begin{vmatrix} a_{11} &amp; a_{12} &amp; a_{13} \\\\[1.1ex] a_{21} &amp;  a_{22} &amp; a_{23} \\\\[1.1ex] a_{31} &amp;  a_{32} &amp; a_{33} \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"342\" 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-a7b38fe06dab0bbdbfef384b3e403fed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} k \\cdot a_{11} &amp; a_{12} &amp; a_{13} \\\\[1.1ex] k \\cdot a_{21} &amp;  a_{22} &amp; a_{23} \\\\[1.1ex] k \\cdot a_{31} &amp;  a_{32} &amp; a_{33} \\end{vmatrix} =k \\cdot \\begin{vmatrix} a_{11} &amp; a_{12} &amp; a_{13} \\\\[1.1ex] a_{21} &amp;  a_{22} &amp; a_{23} \\\\[1.1ex] a_{31} &amp;  a_{32} &amp; a_{33} \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"297\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<h3 style=\"color:#00B0FF\">\u4f8b\u5b50\uff1a<\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-92b404bb7ad8bbdd59c8c54c1619c37d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{vmatrix} 2 &amp; 3 \\\\[1.1ex] 1 &amp; 4  \\end{vmatrix}   = 8-3= \\bm{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"138\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u91c7\u7528\u76f8\u540c\u7684\u884c\u5217\u5f0f\u5e76\u5c06\u6574\u884c\u4e58\u4ee5 2\u3002\u60a8\u5c06\u770b\u5230\u7ed3\u679c\u5c06\u662f\u524d\u4e00\u4e2a\u884c\u5217\u5f0f\u7684\u7ed3\u679c\uff0c\u4f46\u4e58\u4ee5 2 \u6216 10\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-57ae1ba33c0d108f08ac9d0b5cb4a81b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 2 \\cdot 2 &amp; 2 \\cdot 3 \\\\[1.1ex] 1 &amp; 4  \\end{vmatrix}   =  \\begin{vmatrix} 4 &amp; 6 \\\\[1.1ex] 1 &amp; 4  \\end{vmatrix} = 16-6 =\\bm{10}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"270\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\">\u6027\u8d28 6\uff1a\u77e9\u9635\u4e58\u79ef\u7684\u884c\u5217\u5f0f<\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-111\"><\/div>\n<\/div>\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\">\u4e24\u4e2a\u77e9\u9635\u7684\u4e58\u79ef\u7684\u884c\u5217\u5f0f\u5206\u522b\u7b49\u4e8e\u6bcf\u4e2a\u77e9\u9635\u7684\u884c\u5217\u5f0f\u7684\u4e58\u79ef\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-066ee1431d90a4c2cb6febe8a381cc69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\lvert A \\cdot B \\rvert = \\lvert A \\rvert \\cdot \\lvert B \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"130\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<h3 style=\"color:#00B0FF\">\u4f8b\u5b50\uff1a<\/h3>\n<p>\u4e3a\u4e86\u8bc1\u660e\u884c\u5217\u5f0f\u7684\u8fd9\u4e00\u6027\u8d28\uff0c\u6211\u4eec\u5c06\u4ee5\u4e24\u79cd\u53ef\u80fd\u7684\u65b9\u5f0f\u8ba1\u7b97\u4ee5\u4e0b\u4e24\u4e2a\u77e9\u9635\u76f8\u4e58\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-38de0ca99ad15f40bd94f653cffacf8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A= \\begin{pmatrix} 1 &amp; 3 \\\\[1.1ex] 2 &amp; 5 \\end{pmatrix}\\quad B=\\begin{pmatrix} 4 &amp; 2 \\\\[1.1ex] 1 &amp; -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"229\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u9996\u5148\u5c06\u4e24\u4e2a\u77e9\u9635\u76f8\u4e58\uff0c\u7136\u540e\u8ba1\u7b97\u6240\u5f97\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-2ad18d1637b581038b7866030d6ac9a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\left| A \\cdot B \\right| =\\left| \\begin{pmatrix} 1 &amp; 3 \\\\[1.1ex] 2 &amp; 5  \\end{pmatrix} \\cdot \\begin{pmatrix} 4 &amp; 2 \\\\[1.1ex] 1 &amp; -1  \\end{pmatrix}\\right|  = \\left| \\begin{pmatrix} 7 &amp; -1 \\\\[1.1ex] 13 &amp; -1  \\end{pmatrix} \\right|  = -7 - (-13) = \\bm{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"55\" width=\"500\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u5206\u522b\u8ba1\u7b97\u6bcf\u4e2a\u77e9\u9635\u7684\u884c\u5217\u5f0f\uff0c\u7136\u540e\u5c06\u7ed3\u679c\u76f8\u4e58\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-5f7c97d5a832d3985bf1d5e9d4d44401_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lvert A \\rvert \\cdot \\lvert B \\rvert =  \\left| \\begin{pmatrix} 1 &amp; 3 \\\\[1.1ex] 2 &amp; 5  \\end{pmatrix} \\right| \\cdot \\left| \\begin{pmatrix} 4 &amp; 2 \\\\[1.1ex] 1 &amp; -1  \\end{pmatrix}\\right| = -1\\cdot (-6)= \\bm{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"55\" width=\"384\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u5148\u8ba1\u7b97\u77e9\u9635\u4e58\u79ef\uff0c\u7136\u540e\u8ba1\u7b97\u884c\u5217\u5f0f\uff0c\u4e0e\u5148\u8ba1\u7b97\u6bcf\u4e2a\u77e9\u9635\u7684\u884c\u5217\u5f0f\uff0c\u7136\u540e\u5c06\u7ed3\u679c\u76f8\u4e58\u5f97\u5230\u7684\u7ed3\u679c\u76f8\u540c\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u8fd9\u4e2a\u6761\u4ef6\u4e0d\u9002\u7528\u4e8e\u52a0\u6cd5\u548c\u51cf\u6cd5\u8fd0\u7b97\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u4e24\u4e2a\u77e9\u9635\u7684\u884c\u5217\u5f0f\u76f8\u52a0\uff08\u6216\u76f8\u51cf\uff09\u7684\u7ed3\u679c\u4e0e\u4e24\u4e2a\u77e9\u9635\u7684\u884c\u5217\u5f0f\u76f8\u52a0\uff08\u6216\u76f8\u51cf\uff09\u7684\u7ed3\u679c\u4e0d\u540c\u3002\u5206\u522b\u662f\u4e24\u4e2a\u77e9\u9635\u3002 <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-118\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\">\u6027\u8d287\uff1a\u9006\u77e9\u9635\u7684\u884c\u5217\u5f0f<\/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\">\u5982\u679c\u4e00\u4e2a\u77e9\u9635\u662f\u53ef\u9006\u7684\uff0c\u90a3\u4e48\u5b83\u7684\u9006\u77e9\u9635\u7684\u884c\u5217\u5f0f\u5c31\u5bf9\u5e94\u4e8e\u539f\u77e9\u9635\u7684\u884c\u5217\u5f0f\u7684\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-460186cec7a5d86981bd5a14e3b1dcf0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} A^{-1} \\end{vmatrix} = \\cfrac{1}{\\lvert A \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"91\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<\/div>\n<h3 style=\"color:#00B0FF\">\u4f8b\u5b50\uff1a<\/h3>\n<p>\u6211\u4eec\u5c06\u901a\u8fc7\u9996\u5148\u8ba1\u7b97\u77e9\u9635\u7684\u9006\uff0c\u7136\u540e\u6c42\u89e3\u5176\u884c\u5217\u5f0f\u6765\u9a8c\u8bc1\u6b64\u5c5e\u6027\u3002\u6211\u4eec\u4f1a\u770b\u5230\u7ed3\u679c\u76f8\u5f53\u4e8e\u627e\u5230\u539f\u59cb\u77e9\u9635\u7684\u884c\u5217\u5f0f\u5e76\u5c06\u5176\u6c42\u9006\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u53cd\u8f6c\u4ee5\u4e0b\u77e9\u9635\u5e76\u8ba1\u7b97\u5176\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-2c77c10006d35ebc5273553fb84356e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A= \\begin{pmatrix} 4 &amp; 2 \\\\[1.1ex] 7 &amp; 4 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"95\" 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-8a9315a8add365cd5f077c52476a827d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^{-1}= \\begin{pmatrix} 2 &amp; -1 \\\\[1.1ex] -\\frac{7}{2} &amp; 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"143\" 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-a10c873ff6c101cd2b239388393c268b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}A^{-1} \\end{vmatrix}= \\begin{vmatrix} 2 &amp; -1 \\\\[1.1ex] -\\frac{7}{2} &amp; 2 \\end{vmatrix} = 4-\\cfrac{7}{2} =\\cfrac{8}{2}-\\cfrac{7}{2} = \\cfrac{\\bm{1}}{\\bm{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"307\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u6c42\u89e3\u539f\u59cb\u77e9\u9635\u7684\u884c\u5217\u5f0f\u5e76\u6c42\u5176\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-850e5404f5352782327918caab3e1440_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}A\\end{vmatrix}= \\begin{pmatrix} 4 &amp; 2 \\\\[1.1ex] 7 &amp; 4 \\end{pmatrix}=16-14=2\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"221\" 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-427c70eab8ecba40b6dcde2a6e03abd2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}A^{-1}\\end{vmatrix}= \\cfrac{\\bm{1}}{\\bm{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"76\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6b63\u5982\u60a8\u6240\u770b\u5230\u7684\uff0c\u4e24\u4e2a\u64cd\u4f5c\u7684\u7ed3\u679c\u662f\u76f8\u540c\u7684\u3002\u56e0\u6b64\u8be5\u6027\u8d28\u5f97\u5230\u8bc1\u660e\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u6027\u8d288\uff1a\u66ff\u6362\u9650\u5b9a\u7b26\u7684\u884c<\/h2>\n<p class=\"has-background\" style=\"background-color:#dff6ff\">\u884c\u5217\u5f0f\u7684\u884c\u53ef\u4ee5\u901a\u8fc7\u6dfb\u52a0\uff08\u6216\u51cf\u53bb\uff09\u540c\u4e00\u884c\u52a0\u4e0a\uff08\u6216\u51cf\u53bb\uff09\u53e6\u4e00\u884c\u4e58\u4ee5\u4e00\u4e2a\u6570\u5b57\u6765\u66ff\u6362\u3002<\/p>\n<h3 style=\"color:#00B0FF\">\u4f8b\u5b50\uff1a<\/h3>\n<p>\u901a\u8fc7\u4ee5\u4e0b\u793a\u4f8b\uff0c\u6211\u4eec\u5c06\u68c0\u67e5\u6b64\u5c5e\u6027\u3002\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u4e00\u4e2a\u884c\u5217\u5f0f\uff0c\u7136\u540e\u5bf9\u884c\u5217\u5f0f\u7684\u4e00\u884c\u8fdb\u884c\u64cd\u4f5c\u5e76\u91cd\u65b0\u8ba1\u7b97\u5176\u7ed3\u679c\u3002\u60a8\u5c06\u770b\u5230\u6211\u4eec\u5982\u4f55\u5728\u8fd9\u4e24\u79cd\u60c5\u51b5\u4e0b\u83b7\u5f97\u76f8\u540c\u7684\u7ed3\u679c\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u9996\u5148\u7528 Sarrus \u89c4\u5219\u8ba1\u7b97 3&#215;3 \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-4ccd76fc3a2b7cd7afc7d8f9de8ffde1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} 2 &amp; 1 &amp; -1 \\\\[1.1ex] 3 &amp; 0 &amp; 1 \\\\[1.1ex] 0 &amp; -3 &amp; 6 \\end{vmatrix} \\displaystyle=0+0+9-0+6-18 =  \\bm{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"338\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\uff0c<strong>\u5728\u7b2c 2 \u884c\u4e2d\uff0c\u6211\u4eec\u5c06\u7b2c\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-4bc2e6bd78446fb68f29b4a5503a6828_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} 2 &amp; 1 &amp; -1 \\\\[1.1ex] 3 &amp; 0 &amp; 1 \\\\[1.1ex] 0 &amp; -3 &amp; 6 \\end{vmatrix} \\begin{matrix} \\\\[1.1ex] \\xrightarrow{f_2 + 2f_1}  \\\\[1.1ex] \\  \\end{matrix} \\begin{vmatrix} 2 &amp; 1 &amp; -1 \\\\[1.1ex] 7 &amp; 2 &amp; -1 \\\\[1.1ex] 0 &amp; -3 &amp; 6 \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"254\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u5728\u53d8\u6362\u884c\u5217\u5f0f\u4e4b\u4e00\u540e\u6c42\u89e3\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-045eb6f32420fbbf538a9e0a540ce119_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} 2 &amp; 1 &amp; -1 \\\\[1.1ex] 7 &amp; 2 &amp; -1 \\\\[1.1ex] 0 &amp; -3 &amp; 6 \\end{vmatrix} = 24+0+21-0-6-42=\\bm{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"355\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e24\u79cd\u60c5\u51b5\u7684\u7ed3\u679c\u90fd\u662f-3\u3002\u56e0\u6b64\uff0c\u8868\u660e\u5982\u679c\u4e00\u884c\u88ab\u66ff\u6362\u4e3a\u540c\u4e00\u884c\u52a0\u4e0a\u53e6\u4e00\u884c\u4e58\u4ee5\u4e00\u4e2a\u6570\u5b57\u7684\u603b\u548c\uff0c\u5219\u884c\u5217\u5f0f\u7684\u7ed3\u679c\u4e0d\u4f1a\u6539\u53d8\u3002 <\/p>\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\">\u6027\u8d289\uff1a\u4e09\u89d2\u77e9\u9635\u7684\u884c\u5217\u5f0f<\/h2>\n<p class=\"has-background\" style=\"background-color:#dff6ff\">\u4e09\u89d2\u77e9\u9635\u7684\u884c\u5217\u5f0f\u662f\u5176\u4e3b\u5bf9\u89d2\u7ebf\u5143\u7d20\u7684\u4e58\u79ef\u3002<\/p>\n<h3 style=\"color:#00B0FF\">\u4f8b\u5b50\uff1a<\/h3>\n<p>\u6211\u4eec\u4ee5\u6c42\u89e3\u4ee5\u4e0b\u4e09\u89d2\u77e9\u9635\u7684\u884c\u5217\u5f0f\u4e3a\u4f8b\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-40ebfa5f9f06e63ad1325d9331a57bde_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} 2 &amp; 3 &amp; 5 \\\\[1.1ex] 0 &amp; -1 &amp; 7 \\\\[1.1ex] 0 &amp; 0 &amp; 4 \\end{vmatrix} \\displaystyle= 2 \\cdot (-1) \\cdot 4 =  \\bm{-8}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"234\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\">\u6027\u8d2810\uff1a\u5bf9\u89d2\u77e9\u9635\u7684\u884c\u5217\u5f0f<\/h2>\n<p class=\"has-background\" style=\"background-color:#dff6ff\">\u5bf9\u89d2\u77e9\u9635\u7684\u884c\u5217\u5f0f\u7b49\u4e8e\u5176\u4e3b\u5bf9\u89d2\u7ebf\u5143\u7d20\u7684\u4e58\u79ef\u3002<\/p>\n<h3 style=\"color:#00B0FF\">\u4f8b\u5b50\uff1a<\/h3>\n<p>\u8ba9\u6211\u4eec\u4ee5\u4ee5\u4e0b\u5bf9\u89d2\u77e9\u9635\u7684\u884c\u5217\u5f0f\u4e3a\u4f8b\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-56e1b3093685a1af729310752b03dfc9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix}5 &amp; 0 &amp; 0 \\\\[1.1ex] 0 &amp; 3 &amp; 0 \\\\[1.1ex] 0 &amp; 0 &amp; -2 \\end{vmatrix} \\displaystyle= 5 \\cdot 3 \\cdot (-2) =  \\bm{-30}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"243\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\">\u884c\u5217\u5f0f\u6027\u8d28\u6c47\u603b\u8868<\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-116\"><\/div>\n<\/div>\n<p>\u6240\u89e3\u91ca\u7684\u884c\u5217\u5f0f\u7684\u5c5e\u6027\u53ef\u4ee5\u603b\u7ed3\u5728\u4e0b\u8868\u4e2d\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\/proprietes-des-determinants.webp\" alt=\"\u884c\u5217\u5f0f\u7684\u6027\u8d28\" class=\"wp-image-3447\" width=\"774\" height=\"669\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\">\u89e3\u51b3\u5177\u6709\u884c\u5217\u5f0f\u6027\u8d28\u7684\u7ec3\u4e60<\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u6c42\u89e3\u4e0b\u5217\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-97dfc1ebfc5db73750870911108bd447_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} 3 &amp; 1 &amp; 0 \\\\[1.1ex] 4 &amp; 2 &amp; 0 \\\\[1.1ex] -1 &amp; 6 &amp; 0 \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"81\" 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\">\u5982\u679c\u884c\u5217\u5f0f\u7684\u884c\u6216\u5217\u586b\u6ee1\u4e86\u96f6\uff0c\u5219\u884c\u5217\u5f0f\u8fd4\u56de 0\uff08\u5c5e\u6027 2\uff09\u3002\u56e0\u6b64\uff0c<strong>\u884c\u5217\u5f0f\u7684\u7ed3\u679c\u662f0\uff0c\u56e0\u4e3a\u7b2c\u4e09\u5217\u88ab\u96f6\u586b\u5145\u3002<\/strong><\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e602<\/h3>\n<p>\u6c42\u89e3\u4e0b\u5217\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-bdb315ba588fe5fdfb03c7fea2857b16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} 4 &amp; 2 &amp; -3 &amp; 5 \\\\[1.1ex] 1 &amp; 5 &amp; 3 &amp; 2 \\\\[1.1ex]4 &amp; 2 &amp; -3 &amp; 5 \\\\[1.1ex] -2 &amp; 0 &amp; 4 &amp; 3 \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"119\" 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\">\u5982\u679c\u884c\u5217\u5f0f\u5177\u6709\u4e24\u4e2a\u76f8\u7b49\u6216\u591a\u884c\u6216\u4e24\u5217\uff0c\u5219\u884c\u5217\u5f0f\u8fd4\u56de 0\uff08\u5c5e\u6027 3\uff09\u3002\u56e0\u6b64\uff0c<strong>\u884c\u5217\u5f0f\u7684\u7ed3\u679c\u662f0\uff0c\u56e0\u4e3a\u7b2c\u4e00\u884c\u548c\u7b2c\u4e09\u884c\u76f8\u7b49\u3002<\/strong><\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e603<\/h3>\n<p>\u8ba1\u7b97\u4ee5\u4e0b\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-96c5cfee4c4189e49b54fdf43b2a0457_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} 1 &amp; 0 &amp; 2 &amp; 2 \\\\[1.1ex] 3 &amp; 1 &amp; 5 &amp; 6 \\\\[1.1ex] 1 &amp; 3 &amp; -2 &amp; 2 \\\\[1.1ex] 2 &amp; 2 &amp; 0 &amp; 4 \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"106\" 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\">\u5982\u679c\u884c\u5217\u5f0f\u5177\u6709\u4e24\u4e2a\u76f8\u7b49\u6216\u591a\u884c\u6216\u4e24\u5217\uff0c\u5219\u884c\u5217\u5f0f\u8fd4\u56de 0\uff08\u5c5e\u6027 3\uff09\u3002\u56e0\u6b64\uff0c<strong>\u884c\u5217\u5f0f\u7684\u7ed3\u679c\u662f0\uff0c\u56e0\u4e3a\u7b2c\u56db\u5217\u662f\u7b2c\u4e00\u5217\u7684\u4e24\u500d\u3002<\/strong> <\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e604<\/h3>\n<p>\u5c3d\u7ba1\u6211\u4eec\u4e0d\u77e5\u9053\u77e9\u9635\u7684\u5143\u7d20\uff0c\u4f46\u6211\u4eec\u77e5\u9053\u884c\u5217\u5f0f\u7684\u7ed3\u679c\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-e20d9016edd52f18d3ffc928d2658efe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} a &amp; b \\\\[1.1ex] c &amp; d  \\end{vmatrix} = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"77\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6839\u636e\u524d\u4e00\u4e2a\u884c\u5217\u5f0f\u7684\u7ed3\u679c\u548c\u884c\u5217\u5f0f\u7684\u6027\u8d28\uff0c\u8ba1\u7b97\u4ee5\u4e0b\u884c\u5217\u5f0f\u7684\u7ed3\u679c\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-9c20de8d82171dc8fb784e2549521f37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\mathbf{a} \\bm{)} \\ \\begin{vmatrix} a &amp; c  \\\\[1.1ex] b &amp; d  \\end{vmatrix} \\qquad \\mathbf{b} \\bm{)} \\ \\begin{vmatrix} b &amp; a  \\\\[1.1ex] d &amp; c  \\end{vmatrix} \\qquad \\mathbf{c} \\bm{)} \\ \\begin{vmatrix} a &amp; 3b  \\\\[1.1ex] c &amp; 3d  \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"301\" 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\"><strong>\u4e3a\u4e86\uff09<\/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-6ee3d744a077ee8fdc07e806f13286be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{pmatrix} a &amp; c  \\\\ b &amp; d  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"55\" style=\"vertical-align: -17px;\"><\/p>\n<p>\u662f\u7684\u8f6c\u7f6e\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-1565c44a2743bb11e27ba41203073382_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{pmatrix} a &amp; b  \\\\ c &amp; d  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"55\" style=\"vertical-align: -17px;\"><\/p>\n<p>\u3002\u5e76\u4e14\u77e9\u9635\u7684\u884c\u5217\u5f0f\u7b49\u4e8e\u5176\u8f6c\u7f6e\u77e9\u9635\u7684\u884c\u5217\u5f0f\uff08\u6027\u8d281\uff09\u3002\u56e0\u6b64\uff0c<strong>\u8be5\u884c\u5217\u5f0f\u7684\u7ed3\u679c\u4e5f\u662f3\u3002<\/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-5bf7ae0a2ff32d75a6f7abafb623639c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} a &amp; c  \\\\[1.1ex] b &amp; d  \\end{vmatrix}=\\begin{vmatrix} a &amp; b \\\\[1.1ex] c &amp; d  \\end{vmatrix}=\\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"147\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>b)<\/strong>\u5728\u786e\u5b9a<\/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-9255a916d06e3d7689e830d0456f5c74_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} b &amp; a  \\\\ d &amp; c  \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"43\" style=\"vertical-align: -17px;\"><\/p>\n<p>\u7b2c 1 \u5217\u548c\u7b2c 2 \u5217\u5df2\u9488\u5bf9\u8bed\u53e5\u7684\u9650\u5b9a\u7b26\u8fdb\u884c\u4e86\u4fee\u6539<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3e84a753ce5d5bfe9dd6831b42857b30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} a &amp; b \\\\ c &amp; d  \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"43\" style=\"vertical-align: -17px;\"><\/p>\n<p>\u3002\u56e0\u6b64\uff0c\u6839\u636e\u6027\u8d284\uff0c<strong>\u7ed3\u679c\u4e0e\u8be5\u8bed\u53e5\u7684\u5224\u5b9a\u7b26\u7684\u7ed3\u679c\u76f8\u540c\uff0c\u4f46\u7b26\u53f7\u4e0d\u540c\uff0c\u5373-3\u3002<\/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-d6d14aa2f6b8c7d1fd064daef8dd0eec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} b &amp; a  \\\\[1.1ex] d &amp; c  \\end{vmatrix} = - \\begin{vmatrix} a &amp; b \\\\[1.1ex] c &amp; d  \\end{vmatrix}= \\bm{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"178\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <strong>c)<\/strong>\u5728\u786e\u5b9a<\/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-f343927516e13005f5d744228bfdfec6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} a &amp; 3b  \\\\ c &amp; 3d  \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"52\" style=\"vertical-align: -17px;\"><\/p>\n<p>\u8be5\u8bed\u53e5\u7684\u884c\u5217\u5f0f\u7684\u6574\u4e2a\u7b2c\u4e8c\u5217\u90fd\u88ab\u4e58\u4ee5\u4e863\u3002\u56e0\u6b64\uff0c\u4ece\u5c5e\u60275\u6211\u4eec\u53ef\u4ee5\u63a8\u65ad\u51fa<strong>\u5b83\u7684\u7ed3\u679c\u4e5f\u5c06\u662f\u8be5\u8bed\u53e5\u7684\u884c\u5217\u5f0f\u4e58\u4ee53\u7684\u7ed3\u679c\uff0c\u53739\u3002<\/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-b1a7ffec429367a2fd967a197d0299d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} a &amp; 3b  \\\\[1.1ex] c &amp; 3d  \\end{vmatrix} =3 \\begin{vmatrix} a &amp; b \\\\[1.1ex] c &amp; d  \\end{vmatrix} =3 \\cdot 3 = \\bm{9}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"222\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e605<\/h3>\n<p>\u6211\u4eec\u77e5\u9053\u8fd9\u4e24\u4e2a\u51b3\u5b9a\u56e0\u7d20\u7684\u7ed3\u679c\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-e938c40ce401263da9835fa77fc9a1dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\vert A \\vert = \\begin{vmatrix} 1 &amp; 2 &amp; 0 &amp; 1 \\\\[1.1ex] -2 &amp; -1 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp; 3 &amp; 3 &amp; -1 \\\\[1.1ex] 3 &amp; 4 &amp; 1 &amp; 1 \\end{vmatrix}=8\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"215\" 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-6cea0d73e66099f2a10f71f7267baee9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\vert B \\vert = \\begin{vmatrix} 0 &amp; 1 &amp; 3 &amp; 2 \\\\[1.1ex] -1 &amp; -2 &amp; 0 &amp; 0 \\\\[1.1ex] 3 &amp; 1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; 3 &amp; 1 \\end{vmatrix} = - 4\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"216\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6839\u636e\u8be5\u4fe1\u606f\uff0c\u8ba1\u7b97\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-cce5c21696d6cc754d3b49cb7ea5457b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\vert A \\cdot B \\vert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"46\" style=\"vertical-align: -5px;\"><\/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\">\u8981\u8ba1\u7b97\u884c\u5217\u5f0f\u7684\u7ed3\u679c\uff0c\u4e0d\u9700\u8981\u5c06 4\u00d74 \u77e9\u9635\u76f8\u4e58\u3002\u7531\u4e8e<strong>\u4e24\u4e2a\u77e9\u9635\u7684\u4e58\u79ef\u7684\u884c\u5217\u5f0f\u5206\u522b\u7b49\u4e8e\u6bcf\u4e2a\u77e9\u9635\u7684\u884c\u5217\u5f0f\u7684\u4e58\u79ef<\/strong>\uff08\u6027\u8d286\uff09\u3002\u7136\u800c\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-b1e9aef3e2499e7ed6d085319ce955e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vert A \\cdot B \\vert  = \\vert A \\vert \\cdot \\vert B \\vert = 8 \\cdot (-4) = \\bm{-32}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"268\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u884c\u5217\u5f0f\u7684\u6240\u6709\u5c5e\u6027\u662f\u4ec0\u4e48\u3002\u6211\u4eec\u8fd8\u901a\u8fc7\u793a\u4f8b\u6f14\u793a\u4e86\u6bcf\u4e2a\u5c5e\u6027\uff0c\u4ee5\u4fbf\u60a8\u5b8c\u5168\u7406\u89e3\u5b83\u4eec\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u4f1a\u627e\u5230 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" 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