Let U and V be subspaces of a vector space W. Define U + V = {z

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Let U and V be subspaces of a vector space W. Define
U + V = {z | z = u + v where u ∊ U and v ∊ V}
Show that U + V is a subspace of W.

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Linear Algebra with Applications

ISBN: 978-0131857858

7th edition

Authors: Steven J. Leon

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Question Posted: Jun 13, 2016 12:50 AM

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Let U and V be subspaces of a vector space W. Define U + V = {z

Question:

Step by Step Answer:

If z U V then z u v where u U and v V Since U and V are subspaces it follows that u U and ...View the full answer

Linear Algebra with Applications

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