Let A be a nilpotent matrix (see Exercise 56 in Section 4.2). Prove that there is an

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Let A be a nilpotent matrix (see Exercise 56 in Section 4.2). Prove that there is an orthogonal matrix Q such that QT AQ is upper triangular with zeros on its diagonal. [Hint: Use Exercise 27.]

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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 06:22 AM

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Let A be a nilpotent matrix (see Exercise 56 in Section 4.2). Prove that there is an

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We know that if A is nilpotent then its only eigenvalue is 0 So if A ...View the full answer

Linear Algebra A Modern Introduction

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