Question: Let V be a finite-dimensional vector space, and let W 1 and W 2 be two subspaces of V Show that V is a direct

Let V be a finite-dimensional vector space, and let W1 and W2 be two subspaces of V

  • Show that V is a direct sum of W1 and W2 if and only if

V = W1 + W2 and dim (V) = dim (W1) +dim (W2)

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