Let U and W be subspaces of V, let dim V = n and assume that dim

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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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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:50 AM

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Let U and W be subspaces of V, let dim V = n and assume that dim

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By Theorem 5 64 we have dimU W dimU W ...View the full answer

Linear Algebra With Applications

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