Let T: V V be a linear transformation such that T T = T. (a)

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Let T: V → V be a linear transformation such that T ͦ T = T.
(a) Show that {v, T(v)} is linearly dependent if and only if T(v) = v or T(v) = 0.
(b) Give an example of such a linear transformation with V = R2.

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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 06:29 AM

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Let T: V V be a linear transformation such that T T = T. (a)

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a First if Tv v then clearly v Tv fv vg is linearly dependent and if ...View the full answer

Linear Algebra A Modern Introduction

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