<style>/*<link href='https://www.blogger.com/dyn-css/authorization.css?targetBlogID=7710079453978082709&zx=c8528fed-2476-4f0a-a0fe-7c5ea58e883e' media='none' onload='if(media!='all')media='all'' rel='stylesheet'/><noscript><link href='https://www.blogger.com/dyn-css/authorization.css?targetBlogID=7710079453978082709&zx=c8528fed-2476-4f0a-a0fe-7c5ea58e883e' rel='stylesheet'/></noscript>
<meta name='google-adsense-platform-account' content='ca-host-pub-1556223355139109'/>
<meta name='google-adsense-platform-domain' content='blogspot.com'/>

</head><body>*/</style>

Playlist des TDs

Astuces Réduction des Endomorphismes et Applications : Guide Rapide

Astuces Réduction des Endomorphismes : Simplifiez !

Pourquoi la Réduction des Endomorphismes ?

La réduction des endomorphismes simplifie les matrices et leurs applications. Voici des astuces pour étudiants !

3 Astuces Rapides

1. Trouvez les Valeurs Propres

Calculez les valeurs propres via le polynôme caractéristique. Exemple : pour [[1, 1], [0, 2]], résolvez det(A - λI) = 0.

2. Diagonalisez si Possible

Si les valeurs propres sont distinctes, diagonalisez. Exemple : matrice A avec P⁻¹AP = D, où D est diagonale.

3. Utilisez la Réduction pour les Applications

Simplifiez les puissances de matrices via la diagonalisation. Exemple : A^n = PD^nP⁻¹ pour calculer A^10.

Application

Calculez, diagonalisez et testez sur des matrices simples. Pratiquez régulièrement !

Conclusion

Calculez, réduisez, appliquez : la réduction des endomorphismes devient claire ! Questions ? Laissez un commentaire.

Voici une Playlist dea TDs:

<style>/*
<script type="text/javascript" src="https://www.blogger.com/static/v1/widgets/1166699449-widgets.js"></script>
<script type='text/javascript'>
window['__wavt'] = 'AOuZoY4SqOxhwxZg1tKd9CBeQmXCria5oA:1764538996228';_WidgetManager._Init('//www.blogger.com/rearrange?blogID\x3d7710079453978082709','//www.uni-maroc.com/p/playlist-des-tds_35.html','7710079453978082709');
_WidgetManager._SetDataContext([{'name': 'blog', 'data': {'blogId': '7710079453978082709', 'title': 'UniMaroc |  \u0645\u0646\u0635\u0629 \u0627\u0644\u0637\u0627\u0644\u0628', 'url': 'https://www.uni-maroc.com/p/playlist-des-tds_35.html', 'canonicalUrl': 'https://www.uni-maroc.com/p/playlist-des-tds_35.html', 'homepageUrl': 'https://www.uni-maroc.com/', 'searchUrl': 'https://www.uni-maroc.com/search', 'canonicalHomepageUrl': 'https://www.uni-maroc.com/', 'blogspotFaviconUrl': 'https://www.uni-maroc.com/favicon.ico', 'bloggerUrl': 'https://www.blogger.com', 'hasCustomDomain': true, 'httpsEnabled': true, 'enabledCommentProfileImages': true, 'gPlusViewType': 'FILTERED_POSTMOD', 'adultContent': false, 'analyticsAccountNumber': 'G-VXPQ3VM1BX', 'analytics4': true, 'encoding': 'UTF-8', 'locale': 'fr', 'localeUnderscoreDelimited': 'fr', 'languageDirection': 'ltr', 'isPrivate': false, 'isMobile': false, 'isMobileRequest': false, 'mobileClass': '', 'isPrivateBlog': false, 'isDynamicViewsAvailable': true, 'feedLinks': '\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22UniMaroc |  \u0645\u0646\u0635\u0629 \u0627\u0644\u0637\u0627\u0644\u0628 - Atom\x22 href\x3d\x22https://www.uni-maroc.com/feeds/posts/default\x22 /\x3e\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/rss+xml\x22 title\x3d\x22UniMaroc |  \u0645\u0646\u0635\u0629 \u0627\u0644\u0637\u0627\u0644\u0628 - RSS\x22 href\x3d\x22https://www.uni-maroc.com/feeds/posts/default?alt\x3drss\x22 /\x3e\n\x3clink rel\x3d\x22service.post\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22UniMaroc |  \u0645\u0646\u0635\u0629 \u0627\u0644\u0637\u0627\u0644\u0628 - Atom\x22 href\x3d\x22https://www.blogger.com/feeds/7710079453978082709/posts/default\x22 /\x3e\n', 'meTag': '', 'adsenseHostId': 'ca-host-pub-1556223355139109', 'adsenseHasAds': false, 'adsenseAutoAds': false, 'boqCommentIframeForm': true, 'loginRedirectParam': '', 'view': '', 'dynamicViewsCommentsSrc': '//www.blogblog.com/dynamicviews/4224c15c4e7c9321/js/comments.js', 'dynamicViewsScriptSrc': '//www.blogblog.com/dynamicviews/8fade38c227cdf4b', 'plusOneApiSrc': 'https://apis.google.com/js/platform.js', 'disableGComments': true, 'interstitialAccepted': false, 'sharing': {'platforms': [{'name': 'Obtenir le lien', 'key': 'link', 'shareMessage': 'Obtenir le lien', 'target': ''}, {'name': 'Facebook', 'key': 'facebook', 'shareMessage': 'Partager sur Facebook', 'target': 'facebook'}, {'name': 'BlogThis!', 'key': 'blogThis', 'shareMessage': 'BlogThis!', 'target': 'blog'}, {'name': 'X', 'key': 'twitter', 'shareMessage': 'Partager sur X', 'target': 'twitter'}, {'name': 'Pinterest', 'key': 'pinterest', 'shareMessage': 'Partager sur Pinterest', 'target': 'pinterest'}, {'name': 'E-mail', 'key': 'email', 'shareMessage': 'E-mail', 'target': 'email'}], 'disableGooglePlus': true, 'googlePlusShareButtonWidth': 0, 'googlePlusBootstrap': '\x3cscript type\x3d\x22text/javascript\x22\x3ewindow.___gcfg \x3d {\x27lang\x27: \x27fr\x27};\x3c/script\x3e'}, 'hasCustomJumpLinkMessage': true, 'jumpLinkMessage': 'Read more \xbb', 'pageType': 'static_page', 'pageId': '318861815586686701', 'pageName': 'Playlist des TDs', 'pageTitle': 'UniMaroc |  \u0645\u0646\u0635\u0629 \u0627\u0644\u0637\u0627\u0644\u0628: Playlist des TDs', 'metaDescription': ''}}, {'name': 'features', 'data': {}}, {'name': 'messages', 'data': {'edit': 'Modifier', 'linkCopiedToClipboard': 'Lien copi\xe9 dans le presse-papiers\xa0!', 'ok': 'OK', 'postLink': 'Publier le lien'}}, {'name': 'template', 'data': {'name': 'custom', 'localizedName': 'Personnaliser', 'isResponsive': true, 'isAlternateRendering': false, 'isCustom': true}}, {'name': 'view', 'data': {'classic': {'name': 'classic', 'url': '?view\x3dclassic'}, 'flipcard': {'name': 'flipcard', 'url': '?view\x3dflipcard'}, 'magazine': {'name': 'magazine', 'url': '?view\x3dmagazine'}, 'mosaic': {'name': 'mosaic', 'url': '?view\x3dmosaic'}, 'sidebar': {'name': 'sidebar', 'url': '?view\x3dsidebar'}, 'snapshot': {'name': 'snapshot', 'url': '?view\x3dsnapshot'}, 'timeslide': {'name': 'timeslide', 'url': '?view\x3dtimeslide'}, 'isMobile': false, 'title': 'Playlist des TDs', 'description': 'Cours PDF, TD corrig\xe9s et vid\xe9os pour \xe9tudiants marocains en Math\xe9matiques, \xc9conomie, Informatique, SVT, Analyse, Alg\xe8bre, Statistiques.', 'featuredImage': 'https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tofCksfOm3mf5UM6fDW4XI_tKnca60AHumM9mV92ktfEFlJT4AmZ9_oo9sdoiygb6l7RZYZahl41wZ8prtM7ktJeFsaWsz8_Cif-ZkdByj_ZkVJw', 'url': 'https://www.uni-maroc.com/p/playlist-des-tds_35.html', 'type': 'item', 'isSingleItem': true, 'isMultipleItems': false, 'isError': false, 'isPage': true, 'isPost': false, 'isHomepage': false, 'isArchive': false, 'isLabelSearch': false, 'pageId': 318861815586686701}}, {'name': 'widgets', 'data': [{'title': 'Upload Image', 'type': 'Image', 'sectionId': 'upload-image', 'id': 'Image10'}, {'title': '\u0627\u0644\u0634\u0639\u0627\u0631', 'type': 'HTML', 'sectionId': 'header-main', 'id': 'HTML10'}, {'title': '\u0623\u064a\u0642\u0648\u0646\u0627\u062a \u0627\u0644\u062a\u0648\u0627\u0635\u0644 \u060c \u0627\u0644\u0648\u0636\u0639 \u0627\u0644\u0645\u0638\u0644\u0645\u060c \u0627\u0644\u0628\u062d\u062b', 'type': 'LinkList', 'sectionId': 'header-main', 'id': 'LinkList10'}, {'title': '\u0627\u0644\u0642\u0627\u0626\u0645\u0629', 'type': 'LinkList', 'sectionId': 'header-main', 'id': 'LinkList11'}, {'title': '', 'type': 'HTML', 'sectionId': 'before-blog', 'id': 'HTML4'}, {'title': 'Cat\xe9gories', 'type': 'HTML', 'sectionId': 'before-blog', 'id': 'HTML1'}, {'title': '', 'type': 'HTML', 'sectionId': 'before-post', 'id': 'HTML5'}, {'title': '', 'type': 'HTML', 'sectionId': 'blog-post', 'id': 'HTML3'}, {'title': 'Articles du blog', 'type': 'Blog', 'sectionId': 'blog-post', 'id': 'Blog1', 'posts': [{'id': '318861815586686701', 'title': 'Playlist des TDs', 'featuredImage': 'https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tofCksfOm3mf5UM6fDW4XI_tKnca60AHumM9mV92ktfEFlJT4AmZ9_oo9sdoiygb6l7RZYZahl41wZ8prtM7ktJeFsaWsz8_Cif-ZkdByj_ZkVJw', 'showInlineAds': false}], 'footerBylines': [{'regionName': 'footer1', 'items': [{'name': 'author', 'label': 'By UniMaroc'}, {'name': 'share', 'label': ''}]}, {'regionName': 'footer2', 'items': [{'name': 'labels', 'label': 'UniMaroc'}]}], 'allBylineItems': [{'name': 'author', 'label': 'By UniMaroc'}, {'name': 'share', 'label': ''}, {'name': 'labels', 'label': 'UniMaroc'}]}, {'title': '#You may also like', 'type': 'HTML', 'sectionId': 'ads-post', 'id': 'HTML15'}, {'title': 'Libell\xe9s', 'type': 'Label', 'sectionId': 'sidebar-static', 'id': 'Label1'}, {'title': 'About us:', 'type': 'HTML', 'sectionId': 'footer-widget', 'id': 'HTML21'}, {'title': 'Learn More:', 'type': 'LinkList', 'sectionId': 'footer-widget', 'id': 'LinkList13'}, {'title': 'Follow us:', 'type': 'LinkList', 'sectionId': 'footer-widget', 'id': 'LinkList14'}, {'title': 'Translate', 'type': 'Translate', 'sectionId': 'footer-widget', 'id': 'Translate1'}, {'title': 'Wikipedia', 'type': 'Wikipedia', 'sectionId': 'footer-widget', 'id': 'Wikipedia1'}, {'title': 'Copyright', 'type': 'HTML', 'sectionId': 'copyright', 'id': 'HTML23'}, {'title': 'SVG Icons', 'type': 'HTML', 'sectionId': 'jet-options', 'id': 'HTML24'}]}]);
_WidgetManager._RegisterWidget('_ImageView', new _WidgetInfo('Image10', 'upload-image', document.getElementById('Image10'), {'resize': false}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML10', 'header-main', document.getElementById('HTML10'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList10', 'header-main', document.getElementById('LinkList10'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList11', 'header-main', document.getElementById('LinkList11'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML4', 'before-blog', document.getElementById('HTML4'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML1', 'before-blog', document.getElementById('HTML1'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML5', 'before-post', document.getElementById('HTML5'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML3', 'blog-post', document.getElementById('HTML3'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_BlogView', new _WidgetInfo('Blog1', 'blog-post', document.getElementById('Blog1'), {'cmtInteractionsEnabled': false, 'lightboxEnabled': true, 'lightboxModuleUrl': 'https://www.blogger.com/static/v1/jsbin/1633846539-lbx__fr.js', 'lightboxCssUrl': 'https://www.blogger.com/static/v1/v-css/828616780-lightbox_bundle.css'}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML15', 'ads-post', document.getElementById('HTML15'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_LabelView', new _WidgetInfo('Label1', 'sidebar-static', document.getElementById('Label1'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML21', 'footer-widget', document.getElementById('HTML21'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList13', 'footer-widget', document.getElementById('LinkList13'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList14', 'footer-widget', document.getElementById('LinkList14'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_TranslateView', new _WidgetInfo('Translate1', 'footer-widget', document.getElementById('Translate1'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_WikipediaView', new _WidgetInfo('Wikipedia1', 'footer-widget', document.getElementById('Wikipedia1'), {'title': 'Wikipedia', 'language': 'fr', 'noResultsFoundMsg': 'Aucun r\xe9sultat trouv\xe9.', 'enterTextMsg': 'Saisissez le texte \xe0 rechercher.', 'moreMsg': 'Plus \xbb', 'searchResultsMsg': 'R\xe9sultats de recherche', 'fetchingErrorMsg': 'Une erreur s\x27est produite. Veuillez r\xe9essayer.'}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML23', 'copyright', document.getElementById('HTML23'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML24', 'jet-options', document.getElementById('HTML24'), {}, 'displayModeFull'));
</script>
</body>*/</style>