{"id":37375,"date":"2025-11-28T16:06:49","date_gmt":"2025-11-28T14:06:49","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=37375"},"modified":"2025-12-17T10:03:50","modified_gmt":"2025-12-17T08:03:50","slug":"semaine-11-du-1er-au-5-decembre","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2526\/semaine-11-du-1er-au-5-decembre.html","title":{"rendered":"Semaine 12 : du 1er au 5 d\u00e9cembre"},"content":{"rendered":"
\n

Programme de colles de la semaine 13 (du 8 au 12 d\u00e9cembre)
\n<\/span><\/big><\/b><\/p>\n

Colle n\u00b011<\/a><\/p>\n<\/div>\n

\n

Cours<\/strong><\/span><\/p>\n

– Mardi :<\/strong> chapitre 7b R\u00e9duction d’un endomorphisme – d’une matrice<\/strong> :
\nI) Diagonalisation en dimension finie : d\u00e9finition, caract\u00e9risation de la diagonalisabilit\u00e9<\/p>\n

– Jeudi :<\/strong> chapitre 7b R\u00e9duction d’un endomorphisme – d’une matrice<\/strong> :
\nI) Diagonalisation en dimension finie : cas des matrices sym\u00e9triques r\u00e9elles, diagonalisabilit\u00e9 et polyn\u00f4me caract\u00e9ristique, diagonalisabilit\u00e9 et polyn\u00f4mes annulateurs<\/p>\n

– Vendredi :<\/strong> chapitre 7a R\u00e9duction d’un endomorphisme – d’une matrice<\/strong> :
\nI) Diagonalisation en dimension finie : application au calcul des puissances d’une matrice
\nII) Trigonalisation : d\u00e9finition, trigonalisation et polyn\u00f4me caract\u00e9ristique, th\u00e9or\u00e8me de Cayley-Hamilton<\/p>\n<\/div>\n

\n

Travaux dirig\u00e9s
\n<\/span><\/big><\/b><\/p>\n

Exercices \u00e0 chercher pour
\n– mardi<\/strong> : TD7 exercices 1, 2, 3, 4 – 5 et 7 \u00e0 chercher pour le jeudi 04\/12
\n– jeudi<\/strong> : TD 7 exercice 5
\n– vendredi<\/strong> : TD7 exercices 6, 7, 8, 10 et 11 pour mardi 09\/12\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Programme de colles de la semaine 13 (du 8 au 12 d\u00e9cembre) Colle n\u00b011 Cours – Mardi : chapitre 7b R\u00e9duction d’un endomorphisme – d’une matrice : I) Diagonalisation en dimension finie : d\u00e9finition, caract\u00e9risation de la diagonalisabilit\u00e9 – Jeudi…<\/p>\n

Read more →<\/a><\/p>\n","protected":false},"author":36,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[425],"tags":[],"class_list":["post-37375","post","type-post","status-publish","format-standard","hentry","category-mathematiques-pc-2526"],"_links":{"self":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/37375","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\/36"}],"replies":[{"embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/comments?post=37375"}],"version-history":[{"count":6,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/37375\/revisions"}],"predecessor-version":[{"id":37377,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/37375\/revisions\/37377"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=37375"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=37375"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=37375"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}