Let A be an n Atilde n matrix such that its characteristic polynomial is Where the Icirc raquo are distinct (a) Explain why (b) If the Icirc raquo i are not distinct but A is diagonalizable, would the same property hold Explain IA Al (A d)(A A2) (A A,) ...

A is an n n matrix with A I 1 2 n where all the i ...

Let A be an n Ã n matrix such that its characteristic polynomial is Where the Î»

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Let A be an n Ã— n matrix such that its characteristic polynomial is

Where the Î» are distinct
(a) Explain why

(b) If the Î»i are not distinct but A is diagonalizable, would the same property hold? Explain.

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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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Question Posted: May 26, 2016 06:11 AM

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Let A be an n Ã n matrix such that its characteristic polynomial is Where the Î»

Question:

IA - Al| = (A – d)(A - A2) --- (A - A,).

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Differential Equations and Linear Algebra

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