Let A be a nonsingular n n matrix and let be an eigenvalue of A (a) Show that 0 (b) Show that 1 is an eigenvalue of A 1 ...

a det A 1 2 n If A is nonsingular then det A 0 and hence all of ...

Let A be a nonsingular n n matrix and let be an eigenvalue of A.

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Let A be a nonsingular n × n matrix and let λ be an eigenvalue of A.
(a) Show that λ ≠ 0.
(b) Show that 1/λ is an eigenvalue of A-1.

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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 01:05 AM

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Let A be a nonsingular n n matrix and let be an eigenvalue of A.

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Linear Algebra with Applications

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