Ivan Shishkin, Rye (1878)

Problems/General algebraReviewed

Applications linéaires de rang 0

by Ancient Tree·translated by Catalpa·
25
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This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

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These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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Soient EE et FF deux espaces vectoriels (pas nécessairement de dimension finie). Quelles sont les applications linéaires de rang 00 de l’un vers l’autre ?

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Solution by Ancient Tree · translated by Catalpa

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Seulement l’application zéro, car l’image doit être un espace vectoriel de dimension 0, soit {0}\{0\}.

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