{"id":29106,"date":"2024-06-15T14:48:21","date_gmt":"2024-06-15T14:48:21","guid":{"rendered":"https:\/\/science-hub.click\/%E4%B8%89%E8%A7%92%E8%A1%8C%E5%88%97%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2024-06-15T14:48:21","modified_gmt":"2024-06-15T14:48:21","slug":"%E4%B8%89%E8%A7%92%E8%A1%8C%E5%88%97%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=29106","title":{"rendered":"\u4e09\u89d2\u884c\u5217\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"<div><div><p>\u7dda\u5f62\u4ee3\u6570\u3067\u306f\u3001<strong>\u4e09\u89d2\u884c\u5217\u306f<\/strong>\u3001\u4e3b\u5bfe\u89d2\u7dda\u3067\u533a\u5207\u3089\u308c\u305f\u5024\u306e\u4e09\u89d2\u90e8\u5206\u304c\u30bc\u30ed\u3067\u3042\u308b\u6b63\u65b9\u884c\u5217\u3067\u3059\u3002<\/p><h2><span>\u4e0a\u4e09\u89d2\u884c\u5217<\/span><\/h2><p>\u3053\u308c\u3089\u306f\u3001<span><a href=\"https:\/\/science-hub.click\/?p=68177\">\u4e3b\u5bfe\u89d2\u306e<\/a><\/span>\u4e0b\u306e\u5024\u304c\u30bc\u30ed\u3067\u3042\u308b\u6b63\u65b9\u884c\u5217\u3067\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {A = (a_{i,j}) = \\begin{bmatrix} a_{1,1} &amp; a_{1,2} &amp;  \\cdots &amp; \\cdots &amp; a_{1,n}\\\\ 0 &amp; a_{2,2} &amp;   &amp;   &amp; a_{2,n}\\\\ \\vdots &amp; \\ddots &amp; \\ddots &amp;   &amp; \\vdots\\\\ \\vdots &amp;   &amp; \\ddots &amp; \\ddots &amp; \\vdots\\\\ 0 &amp; \\cdots &amp; \\cdots &amp; 0 &amp; a_{n,n}\\\\ \\end{bmatrix}} $$<\/div><\/dd><\/dl><p>\u6b21\u306e\u5834\u5408\u3001 <i>A \u306f<\/i>\u4e0a\u4e09\u89d2\u5f62\u3067\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\forall i width=} $$<\/div> j,\\quad a_{i,j}=0&#8243; &gt;<\/dd><\/dl><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u4e09\u89d2\u884c\u5217\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/4DF91kU1or4\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2><span>\u4e0b\u4e09\u89d2\u884c\u5217<\/span><\/h2><p>\u3053\u308c\u3089\u306f\u3001\u4e3b<span><a href=\"https:\/\/science-hub.click\/?p=100875\">\u5bfe\u89d2<\/a><\/span>\u3088\u308a\u4e0a\u306e\u5024\u304c\u30bc\u30ed\u3067\u3042\u308b\u6b63\u65b9\u884c\u5217\u3067\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {A = (a_{i,j}) = \\begin{bmatrix} a_{1,1} &amp; 0 &amp; \\cdots &amp; \\cdots &amp; 0\\\\ a_{2,1} &amp; a_{2,2} &amp; \\ddots &amp;   &amp; \\vdots\\\\ \\vdots &amp;   &amp; \\ddots &amp; \\ddots &amp; \\vdots\\\\ \\vdots &amp;   &amp;   &amp; \\ddots &amp; 0\\\\ a_{n,1} &amp; a_{n,2} &amp; \\cdots &amp; \\cdots &amp; a_{n,n}\\\\ \\end{bmatrix}} $$<\/div><\/dd><\/dl><p>\u6b21\u306e\u5834\u5408\u3001 <i>A \u306f<\/i>\u4e0b\u4e09\u89d2\u5f62\u3067\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {\\forall i<j,\\quad $$<=\"\" a_{i,j}=\"0}\" div=\"\"><\/j,\\quad><\/div><\/dd><\/dl><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u4e09\u89d2\u884c\u5217\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/YbVeWwBNX4c\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2><span>\u4e09\u89d2\u884c\u5217\u306e\u6027\u8cea<\/span><\/h2><ul><li>2 \u3064\u306e\u4e0a\u4e09\u89d2\u884c\u5217\u306e\u7a4d\u306f\u3001\u4e0a<span><a href=\"https:\/\/science-hub.click\/?p=29106\">\u4e09\u89d2\u884c\u5217<\/a><\/span>\u3067\u3059\u3002<\/li><li>\u4e0a\u4e09\u89d2\u884c\u5217\u306e\u8ee2\u7f6e\u306f\u4e0b\u4e09\u89d2\u884c\u5217\u3067\u3042\u308a\u3001\u305d\u306e\u9006\u3082\u540c\u69d8\u3067\u3059\u3002<\/li><li>\u4e09\u89d2\u884c\u5217 A \u306f\u3001\u305d\u306e\u3059\u3079\u3066\u306e\u5bfe\u89d2\u9805\u304c\u975e\u30bc\u30ed\u3067\u3042\u308b\u5834\u5408\u306b\u306e\u307f\u53ef\u9006\u3067\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u305d\u306e<span><a href=\"https:\/\/science-hub.click\/?p=35670\">\u9006\u884c\u5217<\/a><\/span>\u3082\u4e09\u89d2\u884c\u5217\u306b\u306a\u308a\u307e\u3059 (A \u304c\u9ad8\u3051\u308c\u3070\u4e0a\u3001\u305d\u3046\u3067\u306a\u3051\u308c\u3070\u4e0b)\u3002<\/li><li>\u4e09\u89d2\u884c\u5217\u306e\u56fa\u6709\u5024\u306f\u305d\u306e\u5bfe\u89d2\u9805\u3067\u3059\u3002<\/li><li> A \u304c n \u6b21\u306e\u4e09\u89d2\u884c\u5217\u306e\u5834\u5408\u3001\u4e09\u89d2\u884c\u5217\u306e\u884c\u5217\u5f0f\u306f\u305d\u306e\u5bfe\u89d2\u8981\u7d20\u306e\u7a4d\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002 <\/li><\/ul><dl><dd><div class=\"math-formual notranslate\">$$ {\\det{(A)} = \\prod_{i=1}^n a_{i,i}} $$<\/div><\/dd><\/dl><\/div><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u4e09\u89d2\u884c\u5217\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/n7jx1fbclCM\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/ar.wikipedia.org\/wiki\/%D9%85%D8%B5%D9%81%D9%88%D9%81%D8%A9_%D9%85%D8%AB%D9%84%D8%AB%D9%8A%D8%A9\">\u0645\u0635\u0641\u0648\u0641\u0629 \u0645\u062b\u0644\u062b\u064a\u0629 \u2013 arabe<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/ca.wikipedia.org\/wiki\/Matriu_triangular\">Matriu triangular \u2013 catalan<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/cs.wikipedia.org\/wiki\/Troj%C3%BAheln%C3%ADkov%C3%A1_matice\">Troj\u00faheln\u00edkov\u00e1 matice \u2013 tch\u00e8que<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Dreiecksmatrix\">Dreiecksmatrix \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/el.wikipedia.org\/wiki\/%CE%A4%CF%81%CE%B9%CE%B3%CF%89%CE%BD%CE%B9%CE%BA%CF%8C%CF%82_%CF%80%CE%AF%CE%BD%CE%B1%CE%BA%CE%B1%CF%82\">\u03a4\u03c1\u03b9\u03b3\u03c9\u03bd\u03b9\u03ba\u03cc\u03c2 \u03c0\u03af\u03bd\u03b1\u03ba\u03b1\u03c2 \u2013 grec<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Triangular_matrix\">Triangular matrix \u2013 anglais<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u4e09\u89d2\u884c\u5217\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"\u3010\u6570\u5206\u89e3\u8aac\u3011LU\u5206\u89e3: \u884c\u5217\u3092\u4e0a\u4e09\u89d2\u884c\u5217\u3068\u4e0b\u4e09\u89d2\u884c\u5217\u306b\u5206\u89e3\u3057\u3066\u9ad8\u901f\u306b\u9023\u7acb\u4e00\u6b21\u65b9\u7a0b\u5f0f\u3084\u884c\u5217\u5f0f\u3092\u6c42\u3081\u308b\u3010LU Decomposition\u3011\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/xHuTdKHZQ98?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u7dda\u5f62\u4ee3\u6570\u3067\u306f\u3001\u4e09\u89d2\u884c\u5217\u306f\u3001\u4e3b\u5bfe\u89d2\u7dda\u3067\u533a\u5207\u3089\u308c\u305f\u5024\u306e\u4e09\u89d2\u90e8\u5206\u304c\u30bc\u30ed\u3067\u3042\u308b\u6b63\u65b9\u884c\u5217\u3067\u3059\u3002 \u4e0a\u4e09\u89d2\u884c\u5217 \u3053\u308c\u3089\u306f\u3001\u4e3b\u5bfe\u89d2\u306e\u4e0b\u306e\u5024\u304c\u30bc\u30ed\u3067\u3042\u308b\u6b63\u65b9\u884c\u5217\u3067\u3059\u3002 $$ {A = (a_{i,j}) = \\begin{bmatrix} [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":29107,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/xHuTdKHZQ98\/0.jpg","fifu_image_alt":"\u4e09\u89d2\u884c\u5217\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac","footnotes":""},"categories":[5],"tags":[11,13,10,14,2057,17417,30302,12,16,15],"class_list":["post-29106","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-techniques","tag-technologie","tag-actualite","tag-news","tag-matrice","tag-triangulaire","tag-matrice-triangulaire","tag-dossier","tag-sciences","tag-article"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/29106"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=29106"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/29106\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/29107"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=29106"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=29106"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=29106"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}