Show that if W is a subspace of a finite-dimensional vector space V, then W is finite-dimensional

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Show that if W is a subspace of a finite-dimensional vector space V, then W is finite-dimensional and dim W ( dim V.

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Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

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Question Posted: Jun 21, 2016 07:04 AM

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Show that if W is a subspace of a finite-dimensional vector space V, then W is finite-dimensional

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Let dim V n First observe that any set of vectors in W that is linearly ...View the full answer

Elementary Linear Algebra with Applications

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