Question: Let U and W be subspaces of V, let dim V = n and assume that dim U + dim W = n. (a) If

Let U and W be subspaces of V, let dim V = n and assume that dim U + dim W = n.
(a) If U ∩ W= {0}. show that V = U⊕W.
(b) If U+W= V,, show that V = U⊕W. [Hint: Theorem 5 §6.4.]

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