Show that if A is a square matrix that satisfies the equation A2 - 2A+I=0, then A-1=2I

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Show that if A is a square matrix that satisfies the equation A2 - 2A+I=0, then A-1=2I - A.

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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 06:05 AM

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Show that if A is a square matrix that satisfies the equation A2 - 2A+I=0, then A-1=2I

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To show that A 1 2I A it suffices to sho...View the full answer

Linear Algebra A Modern Introduction

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