{"id":26900,"date":"2022-01-18T08:09:46","date_gmt":"2022-01-18T08:09:46","guid":{"rendered":"https:\/\/www.cpge-brizeux.fr\/wordpress\/?p=26900"},"modified":"2022-01-25T12:51:20","modified_gmt":"2022-01-25T12:51:20","slug":"semaine-17-du-17-au-22-01-2022","status":"publish","type":"post","link":"https:\/\/www.cpge-brizeux.fr\/wordpress\/pc\/mathematiques-pc-2122\/semaine-17-du-17-au-22-01-2022.html","title":{"rendered":"Semaine 17 du 17 au 22\/01\/2022"},"content":{"rendered":"
\n

Programme de colles de la semaine \u00e0 venir<\/span><\/big><\/b><\/p>\n

programme de colles de la semaine de la rentr\u00e9e du 24\/01\/2022 :\u00a0 15_prog_DSE_isometries<\/a>
\n<\/strong><\/span><\/p>\n<\/div>\n

Chapitre XI : Isom\u00e9tries, endomorphismes sym\u00e9triques.<\/strong><\/span>
\nRappels euclidiens : d\u00e9composition dans une b.o.n., formules pour les normes et les produits scalaires. Isom\u00e9trie : d\u00e9finition, exemples. <\/span>Propri\u00e9t\u00e9s : conservation du produit scalaire, image d’une base orthonormale.
\n<\/em><\/span><\/p>\n
\n

Si F est stable par u isom\u00e9trie u(F)=F. Cas de l’orthogonal de F. R\u00e9flexion, \u00e9criture matricielle dans une base adapt\u00e9e. <\/span>
\nexercice(s) 1, 5
\n<\/span><\/em><\/span><\/p>\n

\n

Matrices orthogonales. Propri\u00e9t\u00e9s. Isom\u00e9tries directes, indirectes. Groupe sp\u00e9cial orthogonal. Ecritures matricielles dans O_2(R).
\n<\/span><\/p>\n

exercice(s)\u00a0 <\/span><\/em>9<\/em><\/span><\/p>\n

\n

Isom\u00e9tries du plan : r\u00e9flexions ou rotations, \u00e9critures matricielles dans O_2(R).<\/span><\/p>\n

exercice(s) 16, 3, 12 ; chercher le 15 pour mardi
\n<\/em><\/span><\/p>\n<\/div>\n

\n

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

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

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

DM9 pour le 25\/01 :dm09_DSE<\/a><\/span><\/big><\/b><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Programme de colles de la semaine \u00e0 venir programme de colles de la semaine de la rentr\u00e9e du 24\/01\/2022 :\u00a0 15_prog_DSE_isometries Chapitre XI : Isom\u00e9tries, endomorphismes sym\u00e9triques. Rappels euclidiens : d\u00e9composition dans une b.o.n., formules pour les normes et les…<\/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-26900","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\/26900","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=26900"}],"version-history":[{"count":8,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/26900\/revisions"}],"predecessor-version":[{"id":26970,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/posts\/26900\/revisions\/26970"}],"wp:attachment":[{"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/media?parent=26900"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/categories?post=26900"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.cpge-brizeux.fr\/wordpress\/wp-json\/wp\/v2\/tags?post=26900"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}