Prove that T: Rn Rm is a linear transformation if and only if T (c1v1 +

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Prove that T: Rn → Rm is a linear transformation if and only if
T (c1v1 + c2v2) = c1T(v1) + c2T (v2)
For all v1, v2 in Rn and scalars c1, c2

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Linear Algebra A Modern Introduction

ISBN: 978-1285463247

4th edition

Authors: David Poole

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Question Posted: Apr 15, 2016 06:09 AM

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Prove that T: Rn Rm is a linear transformation if and only if T (c1v1 +

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First suppose that T is linear Then applying property 1 first followed by property ...View the full answer

Linear Algebra A Modern Introduction

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