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Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 24CM

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Let V be a vector space over F, and let U and W be subspaces of V. The sum of U and W,
{u+w: u € U, w € W}. Prove that U + W is a
denoted by U + W, is the subset U + W
subspace of V.
=

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Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors {vu,wv,uw} is linearly independent or linearly dependent.
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