{"id":28725,"date":"2022-11-27T12:13:33","date_gmt":"2022-11-27T10:13:33","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=28725"},"modified":"2022-12-01T17:22:39","modified_gmt":"2022-12-01T15:22:39","slug":"semaine-12-du-28-novembre-au-03-decembre-2022","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2223\/semaine-12-du-28-novembre-au-03-decembre-2022.html","title":{"rendered":"semaine 12 du 28 novembre au 03 d\u00e9cembre 2022"},"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 \u00e0 venir :<br \/>\n<\/span><\/big><\/b><\/p>\n<p><span style=\"color: #000000;\">programme de la semaine du 05\/12\/2022 : <a href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-content\/uploads\/11_prog_Sefonct_probas_reduc.pdf\">11_prog_Sefonct_probas_reduc<\/a><strong><br \/>\n<\/strong><\/span><\/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=\"color: #000000;\">Polyn\u00f4me annulateur et valeurs propres. Polyn\u00f4me caract\u00e9ristique. Diagonalisabilit\u00e9.<br \/>\n<\/span><\/p>\n<p><span style=\"color: #000000;\">exercice(s) 5, 12<br \/>\n<\/span><\/p>\n<hr \/>\n<p><span style=\"color: #000000;\">Polyn\u00f4me caract\u00e9ristique d&rsquo;une matrice. Multiplicit\u00e9s des valeurs propres. Formules de la trace et du d\u00e9terminant.<br \/>\n<\/span><\/p>\n<p><span style=\"color: #000000;\">exercice(s) : 7, 4 (debut)<br \/>\n<\/span><\/p>\n<hr \/>\n<p><span style=\"color: #000000;\"> Polyn\u00f4me caract\u00e9ristique d&rsquo;un endomorphisme. Formules de la trace et du d\u00e9terminant. Enonc\u00e9 du th\u00e9 de C.N.S. de diagonalisabilit\u00e9.<br \/>\n<\/span><\/p>\n<p><span style=\"color: #000000;\">exercice(s) : 4, 20, 2 (d\u00e9but)<br \/>\n<\/span><\/p>\n<hr \/>\n<p><span style=\"color: #000000;\">Toute famille de vecteurs propres associ\u00e9s \u00e0 des valeurs propres distinctes est libre. Les sous-espaces propres sont en somme directe. In\u00e9galit\u00e9s $1\\le dim(E_\\lambda)\\le m_\\lambda\\le n$<br \/>\n<\/span><\/p>\n<p><span style=\"color: #000000;\">exercice(s) 2, 15<br \/>\n<\/span><\/p>\n<p><a href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-content\/uploads\/09_dm09_reduc.pdf\">09_dm09_reduc<\/a><\/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><a href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-content\/uploads\/DS3M.pdf\"><b><big>D<\/big><\/b>S 3 DS3M<\/a><\/p>\n<p>Document de cours :\u00a0<a href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-content\/uploads\/ch08_Cours_Reduction_2022.pdf\">ch08_Cours_Reduction_2022<\/a><\/p>\n<p><b><big><span style=\"color: #2e8b57;\">Documents distribu\u00e9s :<\/span><\/big><\/b><\/p>\n<p><b><big><span style=\"color: #2e8b57;\">TD : <\/span><\/big><\/b><b><big><\/big><\/b><\/p>\n<p><a href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-content\/uploads\/ch08_TD_Reduction_2022.pdf\">ch08_TD_Reduction_2022<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Programme de colles de la semaine \u00e0 venir : programme de la semaine du 05\/12\/2022 : 11_prog_Sefonct_probas_reduc Polyn\u00f4me annulateur et valeurs propres. Polyn\u00f4me caract\u00e9ristique. Diagonalisabilit\u00e9. exercice(s) 5, 12 Polyn\u00f4me caract\u00e9ristique d&rsquo;une matrice. Multiplicit\u00e9s des valeurs propres. Formules de la trace&hellip;<\/p>\n<p class=\"more-link-p\"><a class=\"more-link\" href=\"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2223\/semaine-12-du-28-novembre-au-03-decembre-2022.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":[335],"tags":[],"class_list":["post-28725","post","type-post","status-publish","format-standard","hentry","category-mathematiques-pc-2223"],"_links":{"self":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/28725","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=28725"}],"version-history":[{"count":5,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/28725\/revisions"}],"predecessor-version":[{"id":28755,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/28725\/revisions\/28755"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=28725"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=28725"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=28725"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}