{"id":157,"date":"2024-01-08T17:21:23","date_gmt":"2024-01-08T09:21:23","guid":{"rendered":"https:\/\/www.vincedeck.top\/?p=157"},"modified":"2024-01-30T21:15:05","modified_gmt":"2024-01-30T13:15:05","slug":"%e7%ba%bf%e6%80%a7%e4%bb%a3%e6%95%b0%e7%9a%84%e6%9c%ac%e8%b4%a804","status":"publish","type":"post","link":"https:\/\/www.vincedeck.top\/?p=157","title":{"rendered":"\u7ebf\u6027\u4ee3\u6570\u7684\u672c\u8d28#04"},"content":{"rendered":"\n<!--more-->\n\n\n\n<p>4. \u77e9\u9635\u4e58\u6cd5\u4e0e\u7ebf\u6027\u53d8\u6362\u590d\u5408<\/p>\n\n\n\n<p><br>\u77e9\u9635\u4e58\u6cd5\u662f\u4e00\u4e2a\u53d8\u6362\u548c\u53e6\u4e00\u4e2a\u53d8\u6362\u7684\u590d\u5408<\/p>\n\n\n\n<p><br>\u65b0\u7684\u53d8\u6362\u6c38\u8fdc\u662f\u5de6\u4e58\uff0c\u5c31\u50cf\u590d\u5408\u51fd\u6570 $f(g(x))$ \u4e00\u6837<\/p>\n\n\n\n<p><br>\u5982\uff0c\u5bf9\u4e00\u4e2a\u5411\u91cf $\\vec{v}$ \u8fdb\u884c\u53d8\u6362 $\\textbf{M}$ \uff0c\u518d\u53d8\u6362 $\\textbf{N}$ \uff08\u8fd9\u91cc\u7684\u53d8\u6362\u7528\u77e9\u9635\u8868\u793a\uff09\uff0c\u90a3\u4e48\u5e94\u8be5\u5199\u4e3a $\\textbf{N} \\times (\\textbf{M} \\vec{v})$<\/p>\n\n\n\n<p><br>\u505a\u77e9\u9635\u4e58\u6cd5\uff0c\u9700\u8981\u601d\u8003 $\\hat{i}$ \u548c $\\hat{j}$ \u5206\u522b\u53bb\u54ea\u4e86\uff1f<\/p>\n\n\n\n<p><br>\u5982\u77e9\u9635 $<br>\\mathbf{M_1} =<br>\\begin{bmatrix}<br>1 &amp; -2 \\newline<br>1 &amp; 0<br>\\end{bmatrix}<br>$\uff0c$<br>\\mathbf{M_2} =<br>\\begin{bmatrix}<br>0 &amp; 2 \\newline<br>1 &amp; 0<br>\\end{bmatrix}<br>$<br><\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group is-vertical is-layout-flex wp-container-core-group-is-layout-8cf370e7 wp-block-group-is-layout-flex\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u77e9\u9635\u4e58\u6cd5 $\\mathbf{M_2M_1} =<br>\\begin{bmatrix}<br>0 &amp; 2 \\newline<br>1 &amp; 0<br>\\end{bmatrix}<br>\\begin{bmatrix}<br>1 &amp; -2 \\newline<br>1 &amp; 0<br>\\end{bmatrix} $ . \u5148\u770b $M_1$ \u7684\u7b2c\u4e00\u5217 $<br>\\begin{bmatrix}<br>1 \\newline<br>1<br>\\end{bmatrix} $ \uff0c\u5b83\u662f\u7ecf\u8fc7\u7b2c\u4e00\u6b21\u53d8\u6362\u540e\u7684 $\\hat{i}$ \uff0c\u5bf9\u5b83\u518d\u8fdb\u884c\u7b2c\u4e8c\u6b21\u53d8\u6362\uff08\u5de6\u4e58 $\\mathbf{M_2}$\uff09\u5373\u4e3a\uff1a<br>$ \\mathbf{M_2}<br>\\begin{bmatrix}<br>1 \\newline<br>1 \\end{bmatrix} =<br>\\begin{bmatrix}<br>0 &amp; 2 \\newline<br>1 &amp; 0<br>\\end{bmatrix}<br>\\begin{bmatrix}<br>1 \\newline<br>1 \\end{bmatrix} =<br>\\begin{bmatrix}<br>2 \\newline<br>1<br>\\end{bmatrix} $ \uff0c\u4e5f\u5c31\u5f97\u5230\u4e86\u77e9\u9635\u4e58\u79ef\u7684\u7b2c\u4e00\u5217\u3002<\/p>\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<p><br>\u6309\u7167\u8fd9\u4e2a\u601d\u8def\uff0c\u518d\u601d\u8003 $\\hat{j}$ \u53bb\u54ea\u4e86\uff0c\u5219\u7528 $\\mathbf{M_2}$ \u4e58\u4ee5 $\\mathbf{M_1}$ \u7684\u7b2c\u4e8c\u5217\u5f97\u5230 $<br>\\begin{bmatrix}<br>0 \\newline<br>-2<br>\\end{bmatrix} $ \uff0c\u4e5f\u5c31\u662f\u77e9\u9635\u4e58\u79ef\u7684\u7b2c\u4e8c\u5217\u3002<\/p>\n\n\n\n<p><br>\u6240\u4ee5\uff0c $\\mathbf{M_2M_1} =<br>\\begin{bmatrix}<br>2 &amp; 0 \\newline<br>1 &amp; -2<br>\\end{bmatrix} $<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[7,13],"tags":[],"class_list":["post-157","post","type-post","status-publish","format-standard","hentry","category-7","category-13"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=\/wp\/v2\/posts\/157","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=157"}],"version-history":[{"count":14,"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=\/wp\/v2\/posts\/157\/revisions"}],"predecessor-version":[{"id":171,"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=\/wp\/v2\/posts\/157\/revisions\/171"}],"wp:attachment":[{"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=157"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=157"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=157"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}