{"id":307,"date":"2023-07-06T10:46:31","date_gmt":"2023-07-06T10:46:31","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e6%ad%a3%e8%a7%84%e7%9f%a9%e9%98%b5\/"},"modified":"2023-07-06T10:46:31","modified_gmt":"2023-07-06T10:46:31","slug":"%e6%ad%a3%e8%a7%84%e7%9f%a9%e9%98%b5","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e6%ad%a3%e8%a7%84%e7%9f%a9%e9%98%b5\/","title":{"rendered":"\u6b63\u5219\u77e9\u9635"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u770b\u5230\u4ec0\u4e48\u662f\u6b63\u89c4\u77e9\u9635\u4ee5\u53ca\u6b63\u89c4\u77e9\u9635\u7684\u793a\u4f8b\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u4f1a\u53d1\u73b0\u6b64\u7c7b\u77e9\u9635\u7684\u6027\u8d28\u4ee5\u53ca\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u4ec0\u4e48\u662f\u6b63\u89c4\u77e9\u9635\uff1f<\/h2>\n<p>\u6b63\u5e38\u7684\u6570\u7ec4\u5b9a\u4e49\u662f\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 align=\"LEFT\"><strong>\u666e\u901a\u77e9\u9635<\/strong>\u662f\u4e00\u4e2a\u590d\u77e9\u9635\uff0c\u4e58\u4ee5\u5b83\u7684<a href=\"https:\/\/mathority.org\/cn\/\u590d\u77e9\u9635\u5171\u8f6d\u548c\u8f6c\u7f6e\u5171\u8f6d\/\">\u5171\u8f6d\u8f6c\u7f6e\u77e9\u9635<\/a>\u7b49\u4e8e\u5171\u8f6d\u8f6c\u7f6e\u77e9\u9635\u4e0e\u5176\u672c\u8eab\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-196deb39b1de9764cb4013ded78fe671_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\\cdot A^*=A^*\\cdot A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"118\" 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-0d4c81a666954cf4d9d7889c69274641_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A^*\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"19\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u5171\u8f6d\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-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>\u3002<\/p>\n<\/div>\n<p>\u7136\u800c\uff0c\u5982\u679c\u5b83\u4eec\u662f<strong>\u5b9e\u6570<\/strong>\u77e9\u9635\uff0c\u5219\u524d\u9762\u7684\u6761\u4ef6\u76f8\u5f53\u4e8e\u8bf4\u77e9\u9635\u4e0e\u5176\u8f6c\u7f6e\u53ef\u4ea4\u6362\uff0c\u4e5f\u5c31\u662f\u8bf4\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-4f808080cda647c3e7cbf2cac2129539_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\\cdot A^t=A^t\\cdot A\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"114\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u56e0\u4e3a\uff0c\u663e\u7136\uff0c\u5b9e\u6570\u77e9\u9635\u7684\u5171\u8f6d\u8f6c\u7f6e\u77e9\u9635\u5c31\u662f\u7b80\u5355\u7684\u8f6c\u7f6e\uff08\u6216\u8f6c\u7f6e\uff09\u77e9\u9635\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u6b63\u89c4\u77e9\u9635\u7684\u793a\u4f8b<\/h2>\n<h3 class=\"wp-block-heading\">\u590d\u6570\u793a\u4f8b<\/h3>\n<p>\u4ee5\u4e0b\u7ef4\u5ea6\u4e3a 2\u00d72 \u7684\u590d\u65b9\u77e9\u9635\u662f\u6b63\u89c4\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\/exemple-matrice-normale-complexe-22152-1.webp\" alt=\"\u7ef4\u5ea6\u4e3a 2x2 \u7684\u590d\u6570\u7684\u6b63\u89c4\u77e9\u9635\u793a\u4f8b\" class=\"wp-image-2041\" width=\"125\" height=\"65\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u5176\u6b63\u5e38\u6027\u6f14\u793a\u5982\u4e0b\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-f44b98cec879a8332c462d2393fbfbba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot A^* = \\begin{pmatrix} i &amp; i \\\\[1.1ex] i &amp; -i \\end{pmatrix} \\cdot \\begin{pmatrix} -i &amp; -i \\\\[1.1ex] -i &amp; i \\end{pmatrix} =\\begin{pmatrix} 2 &amp; 0 \\\\[1.1ex] 0 &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-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fddc406493ac1c81c86edf1ad6e58d0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^*\\cdot A = \\begin{pmatrix} -i &amp; -i \\\\[1.1ex] -i &amp; i \\end{pmatrix}\\cdot \\begin{pmatrix} i &amp; i \\\\[1.1ex] i &amp; -i \\end{pmatrix}  = \\begin{pmatrix} 2 &amp; 0 \\\\[1.1ex] 0 &amp; 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"319\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> \u5b9e\u6570\u793a\u4f8b<\/h3>\n<p>\u4e0b\u9762\u7684 2 \u9636\u5b9e\u6570\u65b9\u9635\u4e5f\u662f\u6b63\u89c4\u7684\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\/example-real-normal-matrix-22152-1.webp\" alt=\"\u7ef4\u5ea6\u4e3a 2x2 \u7684\u5b9e\u6570\u7684\u6b63\u89c4\u77e9\u9635\u793a\u4f8b\" class=\"wp-image-2042\" width=\"130\" height=\"68\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u7531\u4e8e\u5b83\u53ea\u6709\u5b9e\u6570\uff0c\u4e3a\u4e86\u8bc1\u660e\u5b83\u662f\u6b63\u5e38\u7684\uff0c\u53ea\u9700\u9a8c\u8bc1\u77e9\u9635\u4e0e\u5176\u8f6c\u7f6e\u53ef\u4ea4\u6362\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-a320a8e300315c6a48bb8095266408ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle B\\cdot B^t = \\begin{pmatrix} 2 &amp; -2 \\\\[1.1ex] 2 &amp; 2 \\end{pmatrix} \\cdot \\begin{pmatrix} 2 &amp; 2 \\\\[1.1ex] -2 &amp; 2 \\end{pmatrix} =\\begin{pmatrix} 8 &amp; 0 \\\\[1.1ex] 0 &amp; 8 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"317\" 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-b6ad5bd62deeb5bcbf561a2ee6b29741_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle B^t\\cdot B =\\begin{pmatrix} 2 &amp; 2 \\\\[1.1ex] -2 &amp; 2 \\end{pmatrix}\\cdot \\begin{pmatrix} 2 &amp; -2 \\\\[1.1ex] 2 &amp; 2 \\end{pmatrix} =\\begin{pmatrix} 8 &amp; 0 \\\\[1.1ex] 0 &amp; 8 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"317\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"> \u6b63\u89c4\u77e9\u9635\u7684\u6027\u8d28<\/h2>\n<p>\u6b63\u89c4\u77e9\u9635\u5177\u6709\u4ee5\u4e0b\u7279\u5f81\uff1a<\/p>\n<ul>\n<li>\u6240\u6709\u6b63\u89c4\u77e9\u9635\u90fd\u662f\u53ef\u5bf9\u89d2\u5316\u77e9\u9635\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u6bcf\u4e2a<a href=\"https:\/\/mathority.org\/cn\/\u9149\u77e9\u9635\/\">\u9149\u77e9\u9635<\/a>\u4e5f\u662f\u4e00\u4e2a\u6b63\u89c4\u77e9\u9635\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u540c\u6837\uff0c<a href=\"https:\/\/mathority.org\/cn\/hermitian-\u6216-hermitian-\u77e9\u9635\/\">\u57c3\u5c14\u7c73\u7279\u77e9\u9635<\/a>\u662f\u4e00\u4e2a\u6b63\u89c4\u77e9\u9635\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u540c\u6837\uff0c\u53cd\u57c3\u5c14\u7c73\u7279\u77e9\u9635\u4e5f\u662f\u4e00\u4e2a\u6b63\u89c4\u77e9\u9635\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u5982\u679cA\u662f\u6b63\u89c4\u77e9\u9635\uff0c\u5219\u5171\u8f6d\u8f6c\u7f6e\u77e9\u9635A*\u7684\u7279\u5f81\u503c\uff08\u6216\u591a\u4e2a\u7279\u5f81\u503c\uff09\u5c31\u662fA\u7684\u5171\u8f6d\u7279\u5f81\u503c\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-a91ee46b5f8dda0d51ecb57474f5b816_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}2i&amp;-1+i\\\\[1.1ex] 1+i&amp;i\\end{pmatrix} \\longrightarrow \\ \\lambda_{A,1} = 0 \\ ; \\ \\lambda_{A,2} = +3i\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"382\" 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-48c80a017a9afd8b4cf3923757f4e945_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^*=\\begin{pmatrix}-2i&amp;1-i\\\\[1.1ex] -1-i&amp;-i\\end{pmatrix} \\longrightarrow \\ \\lambda_{A^*,1} = 0 \\ ; \\ \\lambda_{A^*,2} = -3i\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"403\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li>\u5728\u6b63\u89c4\u77e9\u9635\u4e2d\uff0c\u4e0d\u540c\u7279\u5f81\u503c\u76f8\u5173\u7684\u7279\u5f81\u5411\u91cf\uff08\u6216\u7279\u5f81\u5411\u91cf\uff09\u662f\u6b63\u4ea4\u7684\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u5982\u679c\u4e00\u4e2a\u77e9\u9635\u4ec5\u7531\u5b9e\u6570\u7ec4\u6210\u5e76\u4e14\u662f<a href=\"https:\/\/mathority.org\/cn\/\u5bf9\u79f0\u77e9\u9635\u793a\u4f8b\u548c\u6027\u8d28\/\">\u5bf9\u79f0\u7684<\/a>\uff0c\u90a3\u4e48\u5b83\u540c\u65f6\u4e5f\u662f\u4e00\u4e2a\u6b63\u89c4\u77e9\u9635\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u540c\u6837\uff0c<a href=\"https:\/\/mathority.org\/cn\/\u53cd\u5bf9\u79f0\u77e9\u9635\u793a\u4f8b\u548c\u6027\u8d28\/\">\u53cd\u5bf9\u79f0\u5b9e\u77e9\u9635<\/a>\u4e5f\u662f\u6b63\u89c4\u77e9\u9635\u3002<\/li>\n<\/ul>\n<ul>\n<li>\u6700\u540e\uff0c\u4efb\u4f55\u7531\u5b9e\u6570\u7ec4\u6210\u7684\u6b63\u4ea4\u77e9\u9635\u4e5f\u662f\u6b63\u89c4\u77e9\u9635\u3002<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\">\u89e3\u51b3\u4e86\u6b63\u89c4\u77e9\u9635\u7684\u7ec3\u4e60<\/h2>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u9a8c\u8bc1\u4ee5\u4e0b\u7ef4\u5ea6\u4e3a 2 \u00d7 2 \u7684\u590d\u6570\u77e9\u9635\u662f\u5426\u4e3a\u6b63\u89c4\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-ff27d19373c5a4dc8e95472ec295c657_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}1&amp;2+3i\\\\[1.1ex] 2+3i&amp;1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"168\" 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\">\u4e3a\u4e86\u8bc1\u660e\u77e9\u9635\u662f\u6b63\u89c4\u7684\u6211\u4eec\u5fc5\u987b\u9996\u5148\u8ba1\u7b97\u5b83\u7684\u5171\u8f6d\u8f6c\u7f6e\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-17c96c654ce5b978f90a905b973d5ae7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^*=\\begin{pmatrix}1&amp;2-3i\\\\[1.1ex] 2-3i&amp;1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"176\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u901a\u8fc7\u5728\u4e24\u4e2a\u53ef\u80fd\u7684\u65b9\u5411\u4e0a\u5c06\u77e9\u9635 A \u4e58\u4ee5\u77e9\u9635 A* \u6765\u8fdb\u884c\u9a8c\u8bc1\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-36212e1d12cf35ea5dd27bd91d77ee56_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot A^* = \\begin{pmatrix}1&amp;2+3i\\\\[1.1ex] 2+3i&amp;1\\end{pmatrix}\\cdot \\begin{pmatrix}1&amp;2-3i\\\\[1.1ex] 2-3i&amp;1\\end{pmatrix} = \\begin{pmatrix}14&amp;4\\\\[1.1ex] 4&amp;14\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"453\" 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-3db0fc8fdc948037452b4c6275896686_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^*\\cdot A =\\begin{pmatrix}1&amp;2-3i\\\\[1.1ex] 2-3i&amp;1\\end{pmatrix}\\cdot  \\begin{pmatrix}1&amp;2+3i\\\\[1.1ex] 2+3i&amp;1\\end{pmatrix} = \\begin{pmatrix}14&amp;4\\\\[1.1ex] 4&amp;14\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"453\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e24\u6b21\u4e58\u6cd5\u7684\u7ed3\u679c\u76f8\u540c\uff0c\u56e0\u6b64<strong>\u77e9\u9635 A \u662f\u6b63\u89c4\u77e9\u9635\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>\u8bc1\u660e\u4ee5\u4e0b\u5927\u5c0f\u4e3a 2 \u00d7 2 \u7684\u5b9e\u77e9\u9635\u662f\u6b63\u89c4\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-854e13859be417985691b5ed6d2a050f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}3&amp;5\\\\[1.1ex] -5&amp;3\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"109\" 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\">\u7531\u4e8e\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\u6211\u4eec\u5904\u7406\u7684\u662f\u53ea\u6709\u5b9e\u6570\u7684\u73af\u5883\uff0c\u56e0\u6b64\u53ea\u8981\u9a8c\u8bc1\u77e9\u9635 A \u53ca\u5176\u8f6c\u7f6e\u4e4b\u95f4\u7684\u77e9\u9635\u4e58\u79ef\u65e0\u8bba\u4e58\u6cd5\u65b9\u5411\u5982\u4f55\u90fd\u7ed9\u51fa\u76f8\u540c\u7684\u7ed3\u679c\u5c31\u8db3\u591f\u4e86\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-b1b6314188f394b3053d3dac0613cf5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot A^t = \\begin{pmatrix}3&amp;5\\\\[1.1ex] -5&amp;3\\end{pmatrix}\\cdot \\begin{pmatrix}3&amp;-5\\\\[1.1ex] 5&amp;3\\end{pmatrix} = \\begin{pmatrix}34&amp;0\\\\[1.1ex] 0&amp;34\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"332\" 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-e2b33f892cd29c0ee232b88eaa4946cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^t\\cdot A = \\begin{pmatrix}3&amp;-5\\\\[1.1ex] 5&amp;3\\end{pmatrix}\\cdot \\begin{pmatrix}3&amp;5\\\\[1.1ex] -5&amp;3\\end{pmatrix} = \\begin{pmatrix}34&amp;0\\\\[1.1ex] 0&amp;34\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"332\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e24\u4e2a\u4e58\u79ef\u7684\u7ed3\u679c\u76f8\u540c\uff0c\u56e0\u6b64<strong>\u77e9\u9635 A \u662f\u6b63\u89c4\u7684\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>\u786e\u5b9a\u4ee5\u4e0b 2 \u9636\u590d\u6570\u77e9\u9635\u662f\u5426\u4e3a\u6b63\u89c4\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-00075db37b045e08349f7d5b3f679570_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}4i&amp;-1+i\\\\[1.1ex] 1-i&amp;4i\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" 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\">\u4e3a\u4e86\u68c0\u67e5\u77e9\u9635\u662f\u5426\u6b63\u5e38\uff0c\u6211\u4eec\u5fc5\u987b\u9996\u5148\u8ba1\u7b97\u5b83\u7684\u5171\u8f6d\u8f6c\u7f6e\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-0b39733376eb2aef269012eb1d6c24be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^*=\\begin{pmatrix}-4i&amp;1+i\\\\[1.1ex] -1-i&amp;-4i\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"172\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u68c0\u67e5\u77e9\u9635 A \u53ca\u5176\u5171\u8f6d\u8f6c\u7f6e\u662f\u5426\u53ef\u5207\u6362\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-c207cb9842dacbaf9bc59d4aaff00473_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot A^* = \\begin{pmatrix}4i&amp;-1+i\\\\[1.1ex] 1-i&amp;4i\\end{pmatrix}\\cdot \\begin{pmatrix}-4i&amp;1+i\\\\[1.1ex] -1-i&amp;-4i\\end{pmatrix} = \\begin{pmatrix}18&amp;8i\\\\[1.1ex] -8i&amp;18\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"456\" 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-bcf52f3da81fd7c56b090604c2b6f368_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^*\\cdot A =\\begin{pmatrix}-4i&amp;1+i\\\\[1.1ex] -1-i&amp;-4i\\end{pmatrix}\\cdot  \\begin{pmatrix}4i&amp;-1+i\\\\[1.1ex] 1-i&amp;4i\\end{pmatrix} = \\begin{pmatrix}18&amp;8i\\\\[1.1ex] -8i&amp;18\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"456\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e24\u6b21\u4e58\u6cd5\u7684\u7ed3\u679c\u76f8\u540c\uff0c\u56e0\u6b64<strong>\u77e9\u9635 A \u662f\u6b63\u89c4\u77e9\u9635\u3002<\/strong> <\/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-118\"><\/div>\n<\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e604<\/h3>\n<p>\u9a8c\u8bc1\u4ee5\u4e0b\u7ef4\u5ea6\u4e3a 3\u00d73 \u7684\u5b9e\u77e9\u9635\u662f\u5426\u4e3a\u6b63\u89c4\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-92ee07759c3e6e88af5a68479b5833ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix} -1&amp;1&amp;0\\\\[1.1ex] 0&amp;-1&amp;1\\\\[1.1ex] 1&amp;0&amp;-1\\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\">\u8be5\u77e9\u9635\u5b8c\u5168\u7531\u5b9e\u6570\u5143\u7d20\u7ec4\u6210\uff0c\u8db3\u4ee5\u9a8c\u8bc1\u77e9\u9635 A \u53ca\u5176\u8f6c\u7f6e\u4e4b\u95f4\u7684\u77e9\u9635\u4e58\u79ef\u4e0e\u4e58\u6cd5\u7684\u65b9\u5411\u65e0\u5173\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-dc7ee02c75239b430c7fc2418f43e343_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot A^t = \\begin{pmatrix} -1&amp;1&amp;0\\\\[1.1ex] 0&amp;-1&amp;1\\\\[1.1ex] 1&amp;0&amp;-1\\end{pmatrix} \\cdot\\begin{pmatrix}-1&amp;0&amp;1\\\\[1.1ex] 1&amp;-1&amp;0\\\\[1.1ex] 0&amp;1&amp;-1\\end{pmatrix}=\\begin{pmatrix}2&amp;-1&amp;-1\\\\[1.1ex] -1&amp;2&amp;-1\\\\[1.1ex] -1&amp;-1&amp;2\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"495\" 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-e661b877ee225983c797584e2b61d429_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^t\\cdot A =\\begin{pmatrix}-1&amp;0&amp;1\\\\[1.1ex] 1&amp;-1&amp;0\\\\[1.1ex] 0&amp;1&amp;-1\\end{pmatrix}\\cdot \\begin{pmatrix} -1&amp;1&amp;0\\\\[1.1ex] 0&amp;-1&amp;1\\\\[1.1ex] 1&amp;0&amp;-1\\end{pmatrix}=\\begin{pmatrix}2&amp;-1&amp;-1\\\\[1.1ex] -1&amp;2&amp;-1\\\\[1.1ex] -1&amp;-1&amp;2\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"495\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e24\u4e2a\u4e58\u79ef\u7684\u7ed3\u679c\u76f8\u540c\uff0c\u56e0\u6b64<strong>\u77e9\u9635 A \u662f\u6b63\u89c4\u7684\u3002<\/strong><\/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>\u5224\u65ad\u4ee5\u4e0b 3\u00d73 \u9636\u590d\u77e9\u9635\u662f\u5426\u4e3a\u6b63\u89c4\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-81ca0ac1da07c151a62dcfb06b4be877_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}4&amp;3-2i &amp; 5i \\\\[1.1ex] 3+2i &amp; 0 &amp; -1-3i \\\\[1.1ex] -5i &amp; -1+3i &amp; 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"260\" 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\u8ba1\u7b97\u77e9\u9635\u7684\u5171\u8f6d\u8f6c\u7f6e\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-fd0a2dfe1b8bfe18020ab68c1eb3bda6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^*=\\begin{pmatrix}4&amp;3-2i &amp; 5i \\\\[1.1ex] 3+2i &amp; 0 &amp; -1-3i \\\\[1.1ex] -5i &amp; -1+3i &amp; 1\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"268\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u9700\u8981\u5728\u4e24\u4e2a\u53ef\u80fd\u7684\u65b9\u5411\u4e0a\u8fdb\u884c\u77e9\u9635 A \u4e0e\u5176\u5171\u8f6d\u8f6c\u7f6e\u4e4b\u95f4\u7684\u77e9\u9635\u4e58\u6cd5\u3002\u7136\u800c\uff0cA \u7684\u5171\u8f6d\u8f6c\u7f6e\u77e9\u9635\u7b49\u4e8e\u77e9\u9635 A \u672c\u8eab\uff0c\u56e0\u6b64\u5b83\u662f Hermitian \u77e9\u9635\u3002\u56e0\u6b64\uff0c<strong>\u4ece\u6b63\u89c4\u77e9\u9635\u7684\u6027\u8d28\u53ef\u77e5 A \u662f\u6b63\u89c4\u77e9\u9635<\/strong>\uff0c\u56e0\u4e3a\u6bcf\u4e2a Hermitian \u77e9\u9635\u90fd\u662f\u6b63\u89c4\u77e9\u9635\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u770b\u5230\u4ec0\u4e48\u662f\u6b63\u89c4\u77e9\u9635\u4ee5\u53ca\u6b63\u89c4\u77e9\u9635\u7684\u793a\u4f8b\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u4f1a\u53d1\u73b0\u6b64\u7c7b\u77e9\u9635\u7684\u6027\u8d28\u4ee5\u53ca\u9010\u6b65\u89e3\u51b3\u7684\u7ec3\u4e60\u3002 \u4ec0\u4e48 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e6%ad%a3%e8%a7%84%e7%9f%a9%e9%98%b5\/\"> <span class=\"screen-reader-text\">\u6b63\u5219\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":[31],"tags":[],"class_list":["post-307","post","type-post","status-publish","format-standard","hentry","category-31"],"yoast_head":"<!-- This site is optimized 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