{"id":31344,"date":"2023-11-20T12:11:48","date_gmt":"2023-11-20T10:11:48","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=31344"},"modified":"2023-11-25T09:27:48","modified_gmt":"2023-11-25T07:27:48","slug":"semaine-10-du-20-11","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2324\/semaine-10-du-20-11.html","title":{"rendered":"Semaine 10 du 20\/11"},"content":{"rendered":"
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Programme de colles de la semaine du 27\/11 : 09_prog_tcd_red<\/a>
\n<\/span><\/big><\/b><\/p>\n<\/div>\n

\n

Chapitre VII : R\u00e9duction
\n<\/strong><\/span><\/p>\n

Droite stable par un endomorphisme. Vecteur propre, valeur propre, sous-espace propre d’un endomorphisme. Spectre. Caract\u00e9risation des valeurs propres de $u$ par la non injectivit\u00e9 de $latex \\lambda id_E-u$
\n<\/span><\/p>\n

exercice(s) : 1<\/em><\/span><\/p>\n

exercice(s) : 17 chapitre 6<\/em><\/span><\/p>\n

\n

El\u00e9ments propres d’une matrice carr\u00e9e; polyn\u00f4me caract\u00e9ristique, multiplicit\u00e9s des valeurs propres.
\nexercice(s) : 2a
\n<\/span><\/span><\/p>\n

\n

Somme des multiplicit\u00e9s des valeurs propres. Relations entre le d\u00e9terminant et les valeurs propres, la trace et les valeurs propres.<\/span>
\nexercice(s) : 2b, 5, 6, 14
\n<\/span><\/p>\n

\n

Lien avec les polyn\u00f4mes annulateurs. Th\u00e9or\u00e8me de Cayley-Hamilton.<\/span>
\nexercice(s) : 19
\n<\/span><\/p>\n<\/div>\n

\n

Document de cours : ch07_Cours_Reduction_2023<\/a><\/p>\n

Documents distribu\u00e9s :<\/span><\/big><\/b><\/big><\/b><\/p>\n

TD : ch07_TD_Reduction_2023<\/a><\/span><\/big><\/b><\/p>\n

Devoirs : dm07_tcd<\/a><\/strong><\/span><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Programme de colles de la semaine du 27\/11 : 09_prog_tcd_red Chapitre VII : R\u00e9duction Droite stable par un endomorphisme. Vecteur propre, valeur propre, sous-espace propre d’un endomorphisme. Spectre. Caract\u00e9risation des valeurs propres de $u$ par la non injectivit\u00e9 de $latex…<\/p>\n

Read more →<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[362],"tags":[],"class_list":["post-31344","post","type-post","status-publish","format-standard","hentry","category-mathematiques-pc-2324"],"_links":{"self":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/31344","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=31344"}],"version-history":[{"count":5,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/31344\/revisions"}],"predecessor-version":[{"id":31447,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/31344\/revisions\/31447"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=31344"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=31344"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=31344"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}