Let A be an n x n matrix and let A be an eigenvalue of A whose

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Let A be an n x n matrix and let A be an eigenvalue of A whose eigenspace has dimension k. where I

where I is the k x k identity mairk.
(b) Use Theorem 6.1.1 to show that Î» is an eigenaIue of A with multiplicity it least k.

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Linear Algebra with Applications

ISBN: 978-0131857858

7th edition

Authors: Steven J. Leon

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Question Posted: Jun 13, 2016 01:01 AM

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Let A be an n x n matrix and let A be an eigenvalue of A whose

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I B12 O B22

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Clearly is an eigenvalue of B whose mu...View the full answer

Linear Algebra with Applications

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