{"id":34330,"date":"2024-11-18T11:16:30","date_gmt":"2024-11-18T09:16:30","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=34330"},"modified":"2024-11-19T11:25:31","modified_gmt":"2024-11-19T09:25:31","slug":"semaine-10-du-18-au-23-11-2024","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2425\/semaine-10-du-18-au-23-11-2024.html","title":{"rendered":"Semaine 10 du 18 au 23\/11\/2024"},"content":{"rendered":"<div style=\"border: 2px solid; border-radius: 6px; color: #dc143c; padding-top: 1px; padding-bottom: 1px; padding-left: 20px; margin: 1px;\">\n<p><b><big><span style=\"color: #dc143c;\">Programme de colles de la semaine du 25\/11 au 29\/11 :\u00a0 <a href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-content\/uploads\/10_prog_red-2.pdf\">10_prog_red<\/a><br \/>\n<\/span><\/big><\/b><\/p>\n<\/div>\n<div style=\"border: 2px solid; border-radius: 6px; color: #00008b; padding-top: 1px; padding-bottom: 1px; padding-left: 20px; margin: 1px;\">\n<p><span style=\"text-decoration: underline; color: #000000;\"><span style=\"font-size: 18pt;\"><strong>Chapitre VI R\u00e9duction (suite)<br \/>\n<\/strong><\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">Th\u00e9or\u00e8me de Cayley-Hamilton.Les valeurs propres sont n\u00e9c\u00e9ssairement racines d&rsquo;un polyn\u00f4me annulateur.<br \/>\n<\/span><\/p>\n<p><span style=\"color: #000000;\">Exemples de matrices, recherche des valeurs propres, vecteurs propres, formules de passage.<\/span><\/p>\n<p><span style=\"color: #000000;\"><em>exercice(s) : 15,<br \/>\n<\/em><\/span><\/p>\n<hr \/>\n<p><span style=\"color: #000000;\">Diagonalisabilit\u00e9 d&rsquo;un endomorphisme ou d&rsquo;une matrice carr\u00e9e. Exemples.<\/span><br \/>\n<span style=\"color: #000000;\">exercice(s) : 14, 20, 13<br \/>\n<\/span><\/p>\n<hr \/>\n<p><span style=\"color: #000000;\">Les sous-espaces propres sont en somme directe. CS de diagonalisabilit\u00e9, CNS de diagonalisabilit\u00e9.<br \/>\n<\/span><\/p>\n<p><span style=\"color: #000000;\">exercice(s) : 4, 5, 16<\/span><\/p>\n<hr \/>\n<p><span style=\"color: #000000;\">Applications de la r\u00e9duction<\/span><\/p>\n<p><span style=\"color: #000000;\">exercice(s) : 18, 21, 22 ?<\/span><\/p>\n<\/div>\n<div style=\"border: 2px solid; border-radius: 6px; color: #2e8b57; padding-top: 1px; padding-bottom: 1px; padding-left: 20px; margin: 1px;\">\n<p><span style=\"font-size: 12pt;\">Notes de cours :<\/span><\/p>\n<p><a href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-content\/uploads\/ch06_reduc.pdf\">ch06_reduc<\/a><\/p>\n<p><span style=\"font-size: 12pt;\"><b><big><span style=\"color: #2e8b57;\">Documents distribu\u00e9s : <\/span><\/big><\/b><\/span><b><big><span style=\"color: #2e8b57;\"><span style=\"font-size: 12pt;\">TD :<\/span><\/span><\/big><\/b><b><big><\/big><\/b><\/p>\n<p><a href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-content\/uploads\/td06_reduc.pdf\">td06_reduc<\/a><\/p>\n<p>DM 09 : <a href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-content\/uploads\/dm9_sep.pdf\">dm9_sep<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Programme de colles de la semaine du 25\/11 au 29\/11 :\u00a0 10_prog_red Chapitre VI R\u00e9duction (suite) Th\u00e9or\u00e8me de Cayley-Hamilton.Les valeurs propres sont n\u00e9c\u00e9ssairement racines d&rsquo;un polyn\u00f4me annulateur. Exemples de matrices, recherche des valeurs propres, vecteurs propres, formules de passage. exercice(s)&hellip;<\/p>\n<p class=\"more-link-p\"><a class=\"more-link\" href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2425\/semaine-10-du-18-au-23-11-2024.html\">Read more &rarr;<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[386],"tags":[],"class_list":["post-34330","post","type-post","status-publish","format-standard","hentry","category-mathematiques-pc-2425"],"_links":{"self":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/34330","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/comments?post=34330"}],"version-history":[{"count":4,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/34330\/revisions"}],"predecessor-version":[{"id":34343,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/34330\/revisions\/34343"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=34330"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=34330"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=34330"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}