If V is a finite-dimensional vector space and T: V V is a linear transformation such

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If V is a finite-dimensional vector space and T: V → V is a linear transformation such that rank(T) = rank(T2), prove that range(T)∩ ker(T) = {0}.

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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 06:30 AM

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If V is a finite-dimensional vector space and T: V V is a linear transformation such

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By the Rank Theorem since T V V and T 2 V V we have ran...View the full answer

Linear Algebra A Modern Introduction

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