An n n matrix A is called nilpotent if an integer m exists with Am On Show that if is an eigenvalue of a nilpotent matrix, then 0 ...

Suppose the l is an eigenvalue of A with corre ...

An n n matrix A is called nilpotent if an integer m exists with Am =

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An n × n matrix A is called nilpotent if an integer m exists with Am = On. Show that if λ is an eigenvalue of a nilpotent matrix, then λ = 0.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 02:56 AM

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An n n matrix A is called nilpotent if an integer m exists with Am =

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