{"id":26491,"date":"2021-11-15T08:04:13","date_gmt":"2021-11-15T08:04:13","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=26491"},"modified":"2021-11-19T09:05:40","modified_gmt":"2021-11-19T09:05:40","slug":"semaine-10-du-15-11-au-19-11","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2122\/semaine-10-du-15-11-au-19-11.html","title":{"rendered":"Semaine 10 du 15\/11 au 19\/11"},"content":{"rendered":"
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Programme de colles de la semaine \u00e0 venir<\/span><\/big><\/b><\/p>\n

programme de colles de la semaine du 22\/11 : 09_prog_seriesfonc_reduc<\/a>
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exercice(s) 15
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Chapitre VI : R\u00e9duction<\/strong><\/span><\/span><\/em><\/p>\n

I) Elements propres.<\/span>
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D\u00e9finitions : droite stable, valeur propre, sous-espace propre.<\/span><\/p>\n

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Polyn\u00f4me caract\u00e9ristique.<\/span><\/p>\n

exercice(s) 1, 3
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Toute famille de vecteurs propres associ\u00e9s \u00e0 des valeurs propres distinctes est libre. La somme de plusieurs sous-espace propres distincts est directe.<\/span><\/p>\n

exercice(s) 2, 10
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II) Diagonalisabilit\u00e9.<\/strong><\/span><\/span><\/p>\n

Cas d’un endomorphisme, cas d’une matrice carr\u00e9e. Interpr\u00e9tation des vecteurs colonnes d’une matrice de passage et des coefficients diagonaux dans la formule P^{-1}MP=D diagonale.<\/span><\/p>\n

exercice(s) 5A
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Document de cours : cours_reduction<\/a><\/p>\n

Documents distribu\u00e9s :
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TD : TD_reduction<\/a>
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Programme de colles de la semaine \u00e0 venir programme de colles de la semaine du 22\/11 : 09_prog_seriesfonc_reduc exercice(s) 15 Chapitre VI : R\u00e9duction I) Elements propres. D\u00e9finitions : droite stable, valeur propre, sous-espace propre. Polyn\u00f4me caract\u00e9ristique. exercice(s) 1, 3…<\/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":[317],"tags":[],"class_list":["post-26491","post","type-post","status-publish","format-standard","hentry","category-mathematiques-pc-2122"],"_links":{"self":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/26491","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=26491"}],"version-history":[{"count":5,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/26491\/revisions"}],"predecessor-version":[{"id":26521,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/26491\/revisions\/26521"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=26491"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=26491"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=26491"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}