Answered: 3. Let H andG be subspaces of a vector…

3. Let H andG be subspaces of a vector space V. Show that HNG is a subspace of V. (Note that the intersection of H and G, written as HN G, is the set of vectors v € V that belong to both H and G).

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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3. Let H andG be subspaces of a vector space V. Show that HNG is a subspace of V.
(Note that the intersection of H and G, written as HN G, is the set of vectors v € V that
belong to both H and G).

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