Let {v1, . . . , vn} be a basis for a vector space V and let

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Let {v1, . . . , vn} be a basis for a vector space V and let T: V → V be a linear transformation. Prove that if T (v1) = V1, T (v2) = V2 . . . , T(vn) = vn, then T is the identity transformation on V.

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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 06:28 AM

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Let {v1, . . . , vn} be a basis for a vector space V and let

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Choose v V Then there are scalars c 1 c n such that v n ...View the full answer

Linear Algebra A Modern Introduction

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