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

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Let T: V → V be a linear transformation such that T o T = I.
(a) Show that {v, T(v)} is linearly dependent if and only if T(v) = ± v.
(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 o T = I. (a)

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a First if Tv 6v then clearly fv Tvg is linearly dependent ...View the full answer

Linear Algebra A Modern Introduction

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