Sousespaces vectoriels

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=NI40jqLyzS0

Je donne ici la définition et la caractérisation d'un sous espace vectoriel suivi d'exemples standards mais indispensables à maîtriser. La caractérisation (stabilité par combinaison linéaire) ne sera pas démontrée. Je renvoie la démonstration à une playlist consacrée aux structures. • SYNOPSIS • I. Définition d'un sous-espace vectoriels et exemples intuitifs. • II. Caractérisation d'un sous-espace vectoriel (sans démonstration). • III. Deux exemples pour utiliser la caractérisation d'un sous espace vectoriel. • IV. Deux autres exemples pour illustrer comment on utilise la notion de sous espace vectoriel pour montrer qu'un ensemble est un espace vectoriel. • V. Quelques conseils pour bien utiliser la caractérisation. • Niveau : BAC+1 • Prérequis : Connaître ses espaces vectoriels fondamentaux (e.v. des fonctions réelles, e.v. des suites, e.v. des polynômes, 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