Ivan Shishkin, Rye (1878)

Problems/Linear algebraUnreviewed

Un supplémentaire commun.

by T.W·
30
Difficulty scaleÉchelle de difficulté

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.

  1. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
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Soit EE un K\mathbb K-espace vectoriel de dimension finie, ainsi que AA et BB deux sous-espaces vectoriels de EE de même dimension r≤dim⁡Er \leq \dim E. Montrer qu’il existe un sous-espace vectoriel SS tel que A⊕S=B⊕S=EA \oplus S = B \oplus S = E.

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