5. \u884c\u5217\u5f0f
<\/p>\n\n\n\n
\u6709\u7684\u77e9\u9635\u62c9\u4f38\u7a7a\u95f4\uff0c\u6709\u7684\u77e9\u9635\u6324\u538b\u7a7a\u95f4\u3002\u90a3\u4e48\u77e9\u9635\u5bf9\u7a7a\u95f4\u7684\u62c9\u4f38\/\u6324\u538b\u7a0b\u5ea6\u6709\u591a\u5c11\uff1f<\/p>\n\n\n\n
\u5982\u4e00\u4e2a\u77e9\u9635 $
\\begin{bmatrix}
3 & 0 \\newline
0 & 2
\\end{bmatrix} $ \u5bf9 $\\hat{i}$ \u62c9\u4f38\u4e86 $3$ \u500d\uff0c\u5bf9 $\\hat{j}$ \u62c9\u4f38\u4e86 $2$ \u500d\u3002\u6700\u521d\u4e00\u4e2a $ 1 \\times 1 $ \u7684\u5c0f\u65b9\u683c\u6700\u7ec8\u62c9\u4f38\u6210\u4e3a\u4e86\u4e00\u4e2a\u9762\u79ef\u4e3a $6$ \u7684\u957f\u65b9\u5f62\u683c\u5b50\u3002<\/p>\n\n\n\n
\u53c8\u5982\uff0c\u4e00\u4e2a\u526a\u5207\u77e9\u9635 $
\\begin{bmatrix}
1 & 1 \\newline
0 & 1
\\end{bmatrix} $ \u5c06\u6700\u521d\u4e00\u4e2a $ 1 \\times 1 $ \u7684\u5c0f\u65b9\u683c\u6700\u7ec8\u62c9\u4f38\u6210\u4e3a\u4e86\u5e73\u884c\u56db\u8fb9\u5f62\u683c\u5b50\uff0c\u4f46\u9762\u79ef\u4e0d\u53d8\u3002<\/p>\n\n\n\n
\u4e00\u4e2a\u77e9\u9635 $\\mathbf{M}$ \u5bf9\u7a7a\u95f4\u62c9\u4f38\u548c\u6324\u538b\u7684\u6bd4\u4f8b\u88ab\u53eb\u505a\u8fd9\u4e2a\u77e9\u9635\u7684\u884c\u5217\u5f0f $ \\det(\\mathbf{M}) $<\/p>\n\n\n\n
\u5982\u679c\u4e00\u4e2a\u4e8c\u7ef4\u77e9\u9635\u7684\u884c\u5217\u5f0f\u4e3a $0$ \uff0c \u5219\u8bf4\u660e\u8fd9\u4e2a\u77e9\u9635\u628a\u7a7a\u95f4\u538b\u7f29\u5230\u4e86\u4e00\u6761\u76f4\u7ebf\uff08\u751a\u81f3\u662f\u4e00\u4e2a\u70b9\uff09\u4e0a\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u8fd9\u4e2a\u77e9\u9635\u4e2d\u7684\u5411\u91cf\u7ebf\u6027\u76f8\u5173\u3002<\/p>\n\n\n\n
\u6709\u4e9b\u4e8c\u7ef4\u77e9\u9635\u7684\u884c\u5217\u5f0f\u7684\u503c\u4e3a\u8d1f\u6570\u3002\u8fd9\u8868\u793a\u77e9\u9635\u7684\u53d8\u6362\u4e2d\u5305\u542b\u4e86\u7ffb\u8f6c\uff08orientation flipping\uff09\u3002<\/p>\n\n\n\n
\u5728\u4e09\u7ef4\u7a7a\u95f4\u4e2d\uff0c\u4e00\u4e2a $3\\times3$ \u7684\u77e9\u9635\u5c06\u7531\u57fa\u5411\u91cf\u6784\u6210\u7684\u7acb\u65b9\u4f53\u53d8\u6362\u6210\u5e73\u884c\u516d\u9762\u4f53\u3002\u77e9\u9635\u7684\u884c\u5217\u5f0f\u8868\u793a\u4f53\u79ef\u7684\u7f29\u653e\u6bd4\u4f8b\uff0c\u4e5f\u5c31\u662f\u8fd9\u4e2a\u5e73\u884c\u516d\u9762\u4f53\u7684\u4f53\u79ef\u3002<\/p>\n\n\n\n
\u5982\u679c\u4e00\u4e2a\u4e09\u7ef4\u77e9\u9635\u7684\u884c\u5217\u5f0f\u4e3a $0$ \uff0c\u5219\u8bf4\u660e\u8fd9\u4e2a\u77e9\u9635\u628a\u7a7a\u95f4\u538b\u7f29\u5230\u4e86\u6ca1\u6709\u4f53\u79ef\uff08\u5982\u538b\u7f29\u6210\u4e86\u5e73\u9762\uff09\u3002\u5176\u5217\u5411\u91cf\u4e5f\u5fc5\u7136\u7ebf\u6027\u76f8\u5173\u3002<\/p>\n\n\n\n
\u4e09\u7ef4\u77e9\u9635\u7684\u884c\u5217\u5f0f\u7684\u503c\u4e5f\u53ef\u4ee5\u4e3a\u8d1f\u6570\u3002\u8fd9\u91cc\u53ef\u4ee5\u4f7f\u7528\u201c\u53f3\u624b\u5b9a\u5219\u201d\uff0c\u5982\u679c\u53d8\u6362\u4e4b\u540e\u4ecd\u7136\u53ef\u4ee5\u7528\u53f3\u624b\u6307\u51fa\u4e09\u4e2a\u8f74\u7684\u65b9\u5411\uff0c\u5219\u884c\u5217\u5f0f\u4e3a\u6b63\u3002\u82e5\u5fc5\u987b\u7528\u5de6\u624b\u624d\u80fd\u6307\u51fa\uff0c\u5219\u884c\u5217\u5f0f\u4e3a\u8d1f\u3002<\/p>\n\n\n\n
\u4e24\u79cd\u53d8\u6362\u8fde\u7eed\u8fdb\u884c\u540e\u5bf9\u7a7a\u95f4\u7684\u62c9\u4f38\u548c\u4ed6\u4eec\u5206\u522b\u5bf9\u7a7a\u95f4\u62c9\u4f38\u7684\u4e58\u79ef\u76f8\u7b49\uff1a<\/p>\n\n\n\n
$$ \\det(\\mathbf{M_1}\\mathbf{M_2}) = \\det(\\mathbf{M_1})\\det(\\mathbf{M_2})$$<\/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":[31],"class_list":["post-253","post","type-post","status-publish","format-standard","hentry","category-7","category-13","tag-31"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=\/wp\/v2\/posts\/253","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=253"}],"version-history":[{"count":5,"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=\/wp\/v2\/posts\/253\/revisions"}],"predecessor-version":[{"id":266,"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=\/wp\/v2\/posts\/253\/revisions\/266"}],"wp:attachment":[{"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=253"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=253"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=253"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}