Let A be a nilpotent matrix (that is, Am 0 for some m 1) Show that 0 is the only eigenvalue of A ...

By Theorem 418b if is an eigenvalu ...

Let A be a nilpotent matrix (that is, Am = 0 for some m > 1). Show

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Let A be a nilpotent matrix (that is, Am = 0 for some m > 1). Show that λ = 0 is the only eigenvalue of A.

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Linear Algebra A Modern Introduction

ISBN: 978-1285463247

4th edition

Authors: David Poole

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Let A be a nilpotent matrix (that is, Am = 0 for some m > 1). Show

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Linear Algebra A Modern Introduction

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