Let W1,W2,W3 be subspaces of a vector space. Prove that (W1 W2) + (W1 W3)

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Let W1,W2,W3 be subspaces of a vector space. Prove that (W1 ∩ W2) + (W1 ∩ W3) ⊂ W1 ∩ (W2 + W3). Does the inclusion reverse?

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 01:57 AM

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Let W1,W2,W3 be subspaces of a vector space. Prove that (W1 W2) + (W1 W3)

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Assume that Then where Note that and as a subspace is closed under addit...View the full answer

Linear Algebra

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