{"id":323,"date":"2023-07-06T05:26:21","date_gmt":"2023-07-06T05:26:21","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e6%ad%a3%e4%ba%a4%e7%9f%a9%e9%98%b5%e7%a4%ba%e4%be%8b%e5%b1%9e%e6%80%a7-2x2-3x3\/"},"modified":"2023-07-06T05:26:21","modified_gmt":"2023-07-06T05:26:21","slug":"%e6%ad%a3%e4%ba%a4%e7%9f%a9%e9%98%b5%e7%a4%ba%e4%be%8b%e5%b1%9e%e6%80%a7-2x2-3x3","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e6%ad%a3%e4%ba%a4%e7%9f%a9%e9%98%b5%e7%a4%ba%e4%be%8b%e5%b1%9e%e6%80%a7-2x2-3x3\/","title":{"rendered":"\u6b63\u4ea4\u77e9\u9635"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u770b\u5230\u4ec0\u4e48\u662f\u6b63\u4ea4\u77e9\u9635\u4ee5\u53ca\u5b83\u4eec\u4e0e\u77e9\u9635\u7684\u9006\u77e9\u9635\u7684\u5173\u7cfb\u3002\u60a8\u8fd8\u5c06\u770b\u5230\u51e0\u4e2a\u793a\u4f8b\u6765\u5b8c\u5168\u7406\u89e3\u5b83\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u6559\u60a8\u68c0\u67e5\u4efb\u4f55\u6b63\u4ea4\u77e9\u9635\u7684\u516c\u5f0f\uff0c\u901a\u8fc7\u8be5\u516c\u5f0f\u60a8\u5c06\u77e5\u9053\u5982\u4f55\u5feb\u901f\u627e\u5230\u4e00\u4e2a\u6b63\u4ea4\u77e9\u9635\u3002\u6700\u540e\uff0c\u60a8\u5c06\u627e\u5230\u8fd9\u4e9b\u7279\u5b9a\u77e9\u9635\u7684\u5c5e\u6027\u548c\u5e94\u7528\u4ee5\u53ca\u5178\u578b\u7684\u5df2\u89e3\u51b3\u8003\u8bd5\u7ec3\u4e60\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u4ec0\u4e48\u662f\u6b63\u4ea4\u77e9\u9635\uff1f<\/h2>\n<p>\u6b63\u4ea4\u77e9\u9635\u7684\u5b9a\u4e49\u5982\u4e0b\uff1a <\/p>\n<div style=\"background-color:#dff6ff;padding-top: 20px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px\" class=\"has-background\">\n<p style=\"text-align:left\"><strong>\u6b63\u4ea4\u77e9\u9635<\/strong>\u662f\u4e00\u4e2a\u5b9e\u6570\u65b9\u9635\uff0c\u4e58\u4ee5\u5b83\u7684\u8f6c\u7f6e\uff08\u6216\u8f6c\u7f6e\uff09\u7b49\u4e8e\u5355\u4f4d\u77e9\u9635\u3002\u5373\u6ee1\u8db3\u4ee5\u4e0b\u6761\u4ef6\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-6ce7debd9ea0083703f398f280e534f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\\cdot A^t = A^t \\cdot A =I\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"147\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\"text-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-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>\u662f\u4e00\u4e2a\u6b63\u4ea4\u77e9\u9635\u5e76\u4e14<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-afd3cedfe0f405ed9f2d585b5ac1d8cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^t\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u8868\u793a\u5176\u8f6c\u7f6e\u77e9\u9635\u3002<\/p>\n<\/div>\n<p>\u4e3a\u4e86\u6ee1\u8db3\u8fd9\u4e2a\u6761\u4ef6\uff0c\u6b63\u4ea4\u77e9\u9635\u7684\u5217\u548c\u884c\u5fc5\u987b\u662f\u6b63\u4ea4\u5355\u4f4d\u5411\u91cf\uff0c\u5373\u5b83\u4eec\u5fc5\u987b\u5f62\u6210\u6b63\u4ea4\u57fa\u3002\u56e0\u6b64\uff0c\u4e00\u4e9b\u6570\u5b66\u5bb6\u4e5f\u5c06\u5b83\u4eec\u79f0\u4e3a<strong>\u6b63\u4ea4\u77e9\u9635<\/strong>\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u6b63\u4ea4\u77e9\u9635\u7684\u9006<\/h2>\n<p>\u53e6\u4e00\u79cd\u89e3\u91ca\u6b63\u4ea4\u77e9\u9635\u6982\u5ff5\u7684\u65b9\u6cd5\u662f\u901a\u8fc7\u9006\u77e9\u9635\uff0c\u56e0\u4e3a<strong>\u6b63\u4ea4\u77e9\u9635\u7684\u8f6c\u7f6e\uff08\u6216\u8f6c\u7f6e\uff09\u77e9\u9635\u7b49\u4e8e\u5176\u9006\u77e9\u9635\u3002<\/strong><\/p>\n<p>\u8981\u5145\u5206\u7406\u89e3\u8be5\u5b9a\u7406\uff0c\u4e86\u89e3\u5982\u4f55<a href=\"https:\/\/mathority.org\/cn\/\u9006\u77e9\u9635\/\">\u53cd\u8f6c\u77e9\u9635<\/a>\u975e\u5e38\u91cd\u8981\u3002\u5728\u6b64\u94fe\u63a5\u4e2d\uff0c\u60a8\u5c06\u627e\u5230\u77e9\u9635\u7684\u9006\u77e9\u9635\u53ca\u5176\u6240\u6709\u5c5e\u6027\u7684\u8be6\u7ec6\u8bf4\u660e\uff0c\u751a\u81f3\u8fd8\u6709\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u53ef\u4f9b\u7ec3\u4e60\u3002<\/p>\n<p>\u4f7f\u7528\u6b63\u4ea4\u77e9\u9635\u6761\u4ef6\u548c\u9006\u77e9\u9635\u7684\u4e3b\u8981\u5c5e\u6027\uff0c\u53ef\u4ee5\u8f7b\u677e\u5730\u8bc1\u660e\u6b63\u4ea4\u77e9\u9635\u7684\u9006\u77e9\u9635\u4e0e\u5176\u8f6c\u7f6e\u7b49\u6548\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-36f7666e4730a6311c088c7e8d7f0f38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{c} A \\cdot A^t =I \\\\[2ex] A \\cdot A^{-1} = I\\end{array} \\right\\} \\longrightarrow \\ A^t=A^{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"231\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u6b63\u4ea4\u77e9\u9635\u5c06\u59cb\u7ec8\u662f<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\/\">\u53ef\u9006\u77e9\u9635<\/a>\uff0c\u6216\u8005\u6362\u53e5\u8bdd\u8bf4\uff0c\u5b83\u5c06\u662f\u6b63\u5219\u6216\u975e\u7b80\u5e76\u77e9\u9635\u3002<\/p>\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u901a\u8fc7\u51e0\u4e2a\u6b63\u4ea4\u77e9\u9635\u7684\u4f8b\u5b50\u6765\u5b8c\u6210\u5bf9\u4e00\u5207\u6982\u5ff5\u7684\u7406\u89e3\u3002<\/p>\n<h2 class=\"wp-block-heading\"> 2\u00d72 \u6b63\u4ea4\u77e9\u9635\u793a\u4f8b<\/h2>\n<p>\u4e0b\u9762\u7684\u77e9\u9635\u662f\u4e00\u4e2a\u7ef4\u5ea6\u4e3a2\u00d72\u7684\u6b63\u4ea4\u77e9\u9635\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\/matrice-orthogonale-de-dimension-22152-1.webp\" alt=\"\u7ef4\u5ea6\u4e3a 2x2 \u7684\u6b63\u4ea4\u77e9\u9635\" class=\"wp-image-3302\" width=\"132\" height=\"70\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u8f6c\u7f6e\u8ba1\u7b97\u4e58\u79ef\u6765\u68c0\u67e5\u5b83\u662f\u5426\u6b63\u4ea4\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-d157361ae2a13dbeabc4ba1aab7f8a94_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot A^t\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"44\" 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-f7baa091c2fd963507b93e6bec5c386b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot A^t= \\begin{pmatrix} 0 &amp; 1 \\\\[1.1ex] -1 &amp; 0 \\end{pmatrix} \\cdot \\begin{pmatrix} 0 &amp; -1 \\\\[1.1ex] 1 &amp; 0 \\end{pmatrix} = \\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"315\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u7531\u4e8e\u7ed3\u679c\u7ed9\u51fa\u4e86\u76f8\u540c\u7684\u77e9\u9635\uff0c\u6211\u4eec\u9a8c\u8bc1 A \u662f\u6b63\u4ea4\u77e9\u9635\u3002<\/p>\n<h2 class=\"wp-block-heading\"> 3\u00d73 \u6b63\u4ea4\u77e9\u9635\u793a\u4f8b<\/h2>\n<p>\u4e0b\u9762\u7684\u77e9\u9635\u662f\u4e00\u4e2a\u7ef4\u5ea6\u4e3a3\u00d73\u7684\u6b63\u4ea4\u77e9\u9635\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\/matrice-orthogonale-de-dimension-32153-1.webp\" alt=\"\u7ef4\u5ea6\u4e3a 3x3 \u7684\u6b63\u4ea4\u77e9\u9635\" class=\"wp-image-3304\" width=\"193\" height=\"102\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5c06\u77e9\u9635 A \u4e58\u4ee5\u5176\u8f6c\u7f6e\u6765\u8bc1\u660e\u5b83\u662f\u6b63\u4ea4\u7684\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-35687f56ff4ad5d1b19ea673b4ac85de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot A^t = \\begin{pmatrix}0.8&amp;0.6&amp;0\\\\[1.1ex] -0.6&amp;0.8&amp;0\\\\[1.1ex] 0&amp;0&amp;1\\end{pmatrix}\\cdot \\begin{pmatrix}0.8&amp;-0.6&amp;0\\\\[1.1ex] 0.6&amp;0.8&amp;0\\\\[1.1ex] 0&amp;0&amp;1\\end{pmatrix}= \\begin{pmatrix} 1 &amp; 0 &amp; 0\\\\[1.1ex] 0 &amp; 1 &amp; 0 \\\\[1.1ex] 0&amp;0&amp;1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"453\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u7531\u4e8e\u89e3\u662f\u9149\u77e9\u9635\uff0c\u56e0\u6b64\u6211\u4eec\u8bc1\u660e A \u662f\u6b63\u4ea4\u77e9\u9635\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u6c42 2&#215;2 \u6b63\u4ea4\u77e9\u9635\u7684\u516c\u5f0f<\/h2>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<p>\u7136\u540e\u6211\u4eec\u5c06\u770b\u5230\u6240\u6709 2 \u9636\u6b63\u4ea4\u77e9\u9635\u90fd\u9075\u5faa\u76f8\u540c\u6a21\u5f0f\u7684\u8bc1\u660e\u3002<\/p>\n<p>\u8003\u8651\u5927\u5c0f\u4e3a 2\u00d72 \u7684\u901a\u7528\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-ac19d6ab63d390a9340cbce4014b1136_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}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"96\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4e3a\u4e86\u4f7f\u8be5\u77e9\u9635\u6b63\u4ea4\uff0c\u5fc5\u987b\u6ee1\u8db3\u4ee5\u4e0b\u77e9\u9635\u65b9\u7a0b\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-05ba7bc31dc95f239c8ddb0ffdd72a81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot A^t =I\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"78\" 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-1e108701513ef6f2118e3b7d32657cd8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} a &amp; b \\\\[1.1ex] c &amp; d \\end{pmatrix} \\cdot \\begin{pmatrix} a &amp; c \\\\[1.1ex] b &amp; d \\end{pmatrix} =\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"216\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6c42\u89e3\u77e9\u9635\u4e58\u6cd5\uff0c\u6211\u4eec\u5f97\u5230\u4ee5\u4e0b\u65b9\u7a0b\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-d5435c614cb0da442fe04f65aec89637_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} a^2+b^2 &amp; ac+bd \\\\[1.1ex] ac+bd &amp; c^2+d^2 \\end{pmatrix}=\\begin{pmatrix} 1 &amp; 0 \\\\[1.1ex] 0 &amp; 1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"233\" 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-f8897132ecdbf389450e8c5fa1707226_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{array}{c}a^2+b^2=1 \\\\[2ex] ac+bd=0 \\\\[2ex] c^2+d^2=1 \\end{array} \\qquad \\begin{array}{l} (1) \\\\[2ex] (2) \\\\[2ex] (3) \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"162\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5982\u679c\u4ed4\u7ec6\u89c2\u5bdf\uff0c\u8fd9\u4e9b\u7b49\u5f0f\u770b\u8d77\u6765\u5f88\u50cf<em>\u57fa\u672c\u7684\u6bd5\u8fbe\u54e5\u62c9\u65af\u4e09\u89d2\u5173\u7cfb<\/em>\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-cbd8ab83a790807844d1d30e63429337_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\sin ^2\\alpha+\\cos ^2\\alpha=1\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"143\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u5f97\u5230\u6ee1\u8db3\u5f0f(1)\u548c\u5f0f(3)\u7684\u9879\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-9abeb023c5050d8d7f6fbab8c52227ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{array}{l} a = \\cos \\theta \\qquad \\qquad \\qquad c = \\sin\\phi \\\\[2ex] b = \\sin \\theta \\qquad \\qquad \\qquad d = \\cos \\phi\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"242\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u53e6\u5916\uff0c\u5c06\u8fd9\u4e9b\u503c\u4ee3\u5165\u7b2c\u4e8c\u4e2a\u65b9\u7a0b\uff0c\u6211\u4eec\u5f97\u5230\u4e24\u4e2a\u89d2\u5ea6\u4e4b\u95f4\u7684\u5173\u7cfb\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-9b210cbf7eb8602c723c54204fc5ad8d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle ac+bd=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"88\" style=\"vertical-align: -2px;\"><\/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-8c5edfeb3556ee37b43da4afaeb0c3f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cos\\theta\\sin\\phi+\\sin\\theta\\cos\\phi=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"202\" style=\"vertical-align: -4px;\"><\/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-b2b1e1085946911044e2758ca2783eb8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\tan\\phi=-\\tan\\theta\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"117\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u5373\u5fc5\u987b\u6ee1\u8db3\u4ee5\u4e0b\u4e24\u4e2a\u6761\u4ef6\u4e4b\u4e00\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-0eb6746afdcb971294de82ecebad37b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{si} \\quad c=\\sin\\phi=-\\sin\\theta \\quad \\longrightarrow \\quad  d=\\cos\\phi=\\cos\\theta\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"373\" style=\"vertical-align: -4px;\"><\/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-6face2f33e95163135f12204424969f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{si} \\quad d=\\cos \\phi=-\\cos \\theta \\quad \\longrightarrow \\quad c=\\sin\\phi=\\sin\\theta\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"373\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u603b\u800c\u8a00\u4e4b\uff0c\u6b63\u4ea4\u77e9\u9635\u5fc5\u987b\u5177\u6709\u4ee5\u4e0b\u4e24\u4e2a\u77e9\u9635\u4e4b\u4e00\u7684\u7ed3\u6784\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-orthogonale-de-dimension-22152-1.webp\" alt=\"\u7ef4\u5ea6 2x2 \u7684\u6b63\u4ea4\u77e9\u9635\u7684\u516c\u5f0f\" class=\"wp-image-3267\" width=\"623\" height=\"143\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\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-356a08e839ab6974a16448e16e56745d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\theta\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u4e00\u4e2a\u5b9e\u6570\u3002<\/p>\n<p>\u4e8b\u5b9e\u4e0a\uff0c\u5982\u679c\u4f5c\u4e3a\u4e00\u4e2a\u4f8b\u5b50\u6211\u4eec\u6388\u4e88\u4ef7\u503c<\/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-d3f94c7fef174aa94efe99c9aa192cab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\theta=\\frac{\\pi}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"45\" style=\"vertical-align: -12px;\"><\/p>\n<p>\u91c7\u7528\u7b2c\u4e00\u79cd\u7ed3\u6784\uff0c\u6211\u4eec\u5c06\u5f97\u5230\u5728\u201c2\u00d72\u6b63\u4ea4\u77e9\u9635\u793a\u4f8b\u201d\u4e00\u8282\u4e2d\u9a8c\u8bc1\u4e3a\u6b63\u4ea4\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-1a331cab64745933f7c8a5009c799be6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M_1 \\left(\\theta =\\frac{\\pi}{2}\\right)=\\begin{pmatrix} \\cos \\cfrac{\\pi}{2} &amp;\\sin \\cfrac{\\pi}{2} \\\\[4ex] -\\sin \\cfrac{\\pi}{2} &amp; \\cos \\cfrac{\\pi}{2} \\end{pmatrix}=\\begin{pmatrix} \\vphantom{\\frac{\\pi}{2}}0 &amp;1 \\\\[2ex]\\vphantom{\\frac{\\pi}{2}} -1 &amp; 0 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"366\" style=\"vertical-align: 0px;\"><\/p>\n<\/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\">\u6b63\u4ea4\u77e9\u9635\u5c5e\u6027<\/h2>\n<p>\u6b64\u7c7b\u77e9\u9635\u7684\u7279\u70b9\u662f\uff1a<\/p>\n<ul>\n<li>\u6b63\u4ea4\u77e9\u9635\u6c38\u8fdc\u4e0d\u53ef\u80fd\u662f<a href=\"https:\/\/mathority.org\/cn\/\u5947\u5f02\u6216\u7b80\u5e76\u77e9\u9635\/\">\u5947\u5f02\u77e9\u9635<\/a>\uff0c\u56e0\u4e3a\u5b83\u603b\u662f\u53ef\u4ee5\u9006\u7684\u3002\u4ece\u8fd9\u4e2a\u610f\u4e49\u4e0a\u8bf4\uff0c\u6b63\u4ea4\u77e9\u9635\u7684\u9006\u662f\u53e6\u4e00\u4e2a\u6b63\u4ea4\u77e9\u9635\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u4efb\u4f55\u6b63\u4ea4\u77e9\u9635\u90fd\u53ef\u4ee5\u5bf9\u89d2\u5316\u3002\u7136\u540e\u6211\u4eec\u8bf4\u6b63\u4ea4\u77e9\u9635\u662f<em>\u53ef\u6b63\u4ea4\u5bf9\u89d2\u5316\u7684\u3002<\/em><\/li>\n<\/ul>\n<ul>\n<li>\u6b63\u4ea4\u77e9\u9635\u7684\u6240\u6709\u7279\u5f81\u503c\u6216\u7279\u5f81\u503c\u7684\u6a21\u6570\u90fd\u7b49\u4e8e 1\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u4efb\u4f55\u4ec5\u7531\u5b9e\u6570\u7ec4\u6210\u7684\u6b63\u4ea4\u77e9\u9635\u4e5f\u662f\u6b63\u89c4\u77e9\u9635\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u590d\u6570\u73af\u5883\u4e2d\u6b63\u4ea4\u77e9\u9635\u7684\u7c7b\u4f3c\u7269\u662f\u9149\u77e9\u9635\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u663e\u7136\uff0c\u5355\u4f4d\u77e9\u9635\u662f\u4e00\u4e2a\u6b63\u4ea4\u77e9\u9635\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u7ef4\u5ea6\u4e3a n \u00d7 n \u7684\u6b63\u4ea4\u77e9\u9635\u7684\u96c6\u5408\u4ee5\u53ca\u77e9\u9635\u4e58\u79ef\u7684\u8fd0\u7b97\u5f62\u6210\u4e00\u4e2a\u79f0\u4e3a\u6b63\u4ea4\u7fa4\u7684\u7fa4\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u4e24\u4e2a\u6b63\u4ea4\u77e9\u9635\u7684\u4e58\u79ef\u7b49\u4e8e\u53e6\u4e00\u4e2a\u6b63\u4ea4\u77e9\u9635\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u6b64\u5916\uff0c\u6b63\u4ea4\u77e9\u9635\u4e0e\u5176\u8f6c\u7f6e\u76f8\u4e58\u7684\u7ed3\u679c\u53ef\u4ee5\u7528 Kronecker delta \u8868\u793a\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-7d0922008f857f33f46de7551a8ff7cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (A\\cdot A^{t})_{ij} = \\delta_{ij}=\\begin{cases}1 &amp; \\mbox{si }i = j, \\\\[2ex] 0 &amp; \\mbox{si }i \\ne j\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"238\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li>\u6700\u540e\uff0c\u6b63\u4ea4\u77e9\u9635\u7684\u884c\u5217\u5f0f\u603b\u662f+1\u6216-1\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-12d5717a2cb94708642478117c7c309d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{det}(A)=\\pm 1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\">\u6b63\u4ea4\u77e9\u9635\u7684\u6c42\u89e3\u7ec3\u4e60<\/h2>\n<p>\u7136\u540e\u6211\u4eec\u5c06\u89e3\u51b3\u6b63\u4ea4\u77e9\u9635\u7684\u7ec3\u4e60\u3002<\/p>\n<ul>\n<li>\u7ed9\u5b9a\u4ee5\u4e0b 3 \u9636\u65b9\u9635\uff0c\u627e\u5230 \u7684\u503c\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u548c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4f7f\u5176\u6b63\u4ea4\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-892ca58ec5cd36060396cb566902d65d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\frac{1}{3}\\begin{pmatrix}a&amp;a&amp;1\\\\[1.1ex] b&amp;1&amp;b\\\\[1.1ex] 1&amp;a&amp;a\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"140\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u4e3a\u4e86\u6ee1\u8db3\u77e9\u9635\u7684\u6b63\u4ea4\u6027\uff0c\u77e9\u9635\u4e0e\u5176\u8f6c\u7f6e\u7684\u4e58\u79ef\u5fc5\u987b\u7b49\u4e8e\u5355\u4f4d\u77e9\u9635\u3002\u6240\u4ee5\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-301d774ec2d0663c858c91e548000749_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot A^t = I\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"78\" 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-c2dc9ef8c514302f183ca66626cabc1b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{1}{3}\\begin{pmatrix}a&amp;a&amp;1\\\\[1.1ex] b&amp;1&amp;b\\\\[1.1ex] 1&amp;a&amp;a\\end{pmatrix} \\cdot \\frac{1}{3}\\begin{pmatrix}a&amp;b&amp;1\\\\[1.1ex] a&amp;1&amp;a\\\\[1.1ex] 1&amp;b&amp;a\\end{pmatrix}=\\begin{pmatrix}1&amp;0&amp;0\\\\[1.1ex] 0&amp;1&amp;0\\\\[1.1ex] 0&amp;0&amp;1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"334\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u5c06\u77e9\u9635\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-18a21a22f3cc9747c310d271c3fe4c5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{1}{9}\\begin{pmatrix}2a^2+1&amp;ab+a+b&amp;2a+a^2\\\\[1.5ex] ab+a+b&amp;2b^2+1&amp;b+a+ab\\\\[1.5ex] 2a+a^2&amp;b+a+ab&amp;1+2a^2\\end{pmatrix} =\\begin{pmatrix}1&amp;0&amp;0\\\\[1.5ex] 0&amp;1&amp;0\\\\[1.5ex] 0&amp;0&amp;1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"87\" width=\"418\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u53ef\u4ee5\u4ece\u77e9\u9635\u7684\u5de6\u4e0a\u89d2\u5f97\u5230\u4e00\u4e2a\u65b9\u7a0b\uff0c\u56e0\u4e3a\u8be5\u4f4d\u7f6e\u7684\u5143\u7d20\u5fc5\u987b\u5339\u914d\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-3a4d0f699410c3a7de5d6af181073f8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{1}{9}(2a^2+1) = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"113\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-119\"><\/div>\n<\/div>\n<p>\u6211\u4eec\u6c42\u89e3\u65b9\u7a0b\u5e76\u6d88\u9664\u672a\u77e5\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-c6700a19d58afe1d84668664734ef725_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 2a^2+1 = 9\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"89\" style=\"vertical-align: -2px;\"><\/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-a2007d061c6ecfda4deef22882bfce17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 2a^2 = 8\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"59\" 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-5fd565f4a4ab39908601493ada1575cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle a^2 = 4\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"50\" 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-2f617bc4be3760ed1e13564672a4b6ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{a = \\pm 2}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"55\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u7136\u800c\uff0c\u6709\u4e9b\u65b9\u7a0b\u7684\u6b63\u89e3\u4e0d\u6210\u7acb\uff0c\u4f8b\u5982\u53f3\u4e0a\u89d2\u7684\u65b9\u7a0b\u3002\u6240\u4ee5<strong>\u53ea\u6709\u5426\u5b9a\u7684\u89e3\u51b3\u65b9\u6848\u662f\u53ef\u80fd\u7684<\/strong>\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u8ba1\u7b97\u53d8\u91cf<\/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-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4f8b\u5982\uff0c\u6211\u4eec\u53ef\u4ee5\u5339\u914d\u4f4d\u4e8e\u7b2c\u4e00\u5217\u7b2c\u4e8c\u884c\u7684\u672f\u8bed\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-16d30b554d24bd4b8a00b156ed1503d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{1}{9}(ab+a+b) = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"134\" 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-fe062334bff68f2ba70f0f025d2a2d9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle ab+a+b = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"110\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u901a\u8fc7\u66ff\u6362\u7684\u503c<\/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-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5728\u7b49\u5f0f\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-e8e6825541c5d7e2a12df99d9dc7b3b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle -2b-2+b = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"122\" style=\"vertical-align: -2px;\"><\/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-a13af6b471ccdb2e6804fc02b87abc4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle -b =2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" 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-27e8de15a4a0f239878f4cc4f5b8db24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{b =-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"53\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u7b80\u800c\u8a00\u4e4b\uff0c\u552f\u4e00\u53ef\u80fd\u7684\u89e3\u51b3\u65b9\u6848\u662f\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-70dc1f4331f63bff4d12f4bad8ef34e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{a=b =-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"86\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6240\u4ee5\u8fd9\u4e9b\u503c\u5bf9\u5e94\u7684\u6b63\u4ea4\u77e9\u9635\u662f\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-cb7e7a27658da85f7b0d16b17f1f0815_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\frac{1}{3}\\begin{pmatrix}-2&amp;-2&amp;1\\\\[1.1ex] -2&amp;1&amp;-2\\\\[1.1ex] 1&amp;-2&amp;-2\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"179\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\">\u6b63\u4ea4\u77e9\u9635\u7684\u5e94\u7528<\/h2>\n<p>\u5c3d\u7ba1\u770b\u8d77\u6765\u53ef\u80fd\u4e0d\u50cf\uff0c\u56e0\u4e3a\u5b83\u4eec\u901a\u5e38\u5177\u6709\u975e\u5e38\u7b80\u5355\u7684\u5f62\u5f0f\uff0c\u4f46\u6b63\u4ea4\u77e9\u9635\u5728\u6570\u5b66\u4e2d\u975e\u5e38\u91cd\u8981\uff0c\u5c24\u5176\u662f\u5728\u7ebf\u6027\u4ee3\u6570\u9886\u57df\u3002<\/p>\n<p>\u5728\u51e0\u4f55\u4e2d\uff0c\u6b63\u4ea4\u77e9\u9635\u8868\u793a\u5b9e\u5411\u91cf\u7a7a\u95f4\u4e2d\u7684\u7b49\u8ddd\u53d8\u6362\uff08\u4e0d\u6539\u53d8\u8ddd\u79bb\u548c\u89d2\u5ea6\uff09\uff0c\u8fd9\u5c31\u662f\u5b83\u4eec\u88ab\u79f0\u4e3a\u6b63\u4ea4\u53d8\u6362\u7684\u539f\u56e0\u3002\u6b64\u5916\uff0c\u8fd9\u4e9b\u53d8\u6362\u662f\u6240\u8003\u8651\u7684\u5411\u91cf\u7a7a\u95f4\u7684\u5185\u90e8\u540c\u6784\u3002\u8fd9\u4e9b\u53d8\u6362\u53ef\u4ee5\u662f<strong>\u65cb\u8f6c<\/strong>\u3001<strong>\u955c\u9762\u53cd\u5c04<\/strong>\u6216<strong>\u53cd\u8f6c<\/strong>\u3002<\/p>\n<p>\u6700\u540e\uff0c\u8fd9\u79cd\u7c7b\u578b\u7684\u77e9\u9635\u4e5f\u7528\u4e8e\u7269\u7406\u5b66\uff0c\u56e0\u4e3a\u5b83\u5141\u8bb8\u7814\u7a76\u521a\u4f53\u7684\u8fd0\u52a8\u3002\u5b83\u4eec\u751a\u81f3\u88ab\u7528\u4e8e\u67d0\u4e9b\u573a\u8bba\u7684\u8868\u8ff0\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u770b\u5230\u4ec0\u4e48\u662f\u6b63\u4ea4\u77e9\u9635\u4ee5\u53ca\u5b83\u4eec\u4e0e\u77e9\u9635\u7684\u9006\u77e9\u9635\u7684\u5173\u7cfb\u3002\u60a8\u8fd8\u5c06\u770b\u5230\u51e0\u4e2a\u793a\u4f8b\u6765\u5b8c\u5168\u7406\u89e3\u5b83\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u6559 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e6%ad%a3%e4%ba%a4%e7%9f%a9%e9%98%b5%e7%a4%ba%e4%be%8b%e5%b1%9e%e6%80%a7-2x2-3x3\/\"> <span class=\"screen-reader-text\">\u6b63\u4ea4\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":[30],"tags":[],"class_list":["post-323","post","type-post","status-publish","format-standard","hentry","category-30"],"yoast_head":"<!-- This site is optimized 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