Let H be an n-dimensional subspace of an n-dimensional vector space V. Explain why H = V.

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Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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Question Posted: May 06, 2023 06:11 AM

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Let H be an n-dimensional subspace of an n-dimensional vector space V. Explain why H = V.

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ANSWER To prove that H V we need to show that every vector in V is also in H and every vector in H is also in V Since H is a subspace of V it is closed under vector addition and scalar multiplication ...View the full answer

Linear Algebra And Its Applications

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