(a) Prove that if det A 1, then A has at least one eigenvalue with 1 (b) If det A 1, are all eigenvalues 1 Prove or find a counter example ...

a If all j 1 then so is their ...

(a) Prove that if det A > 1, then A has at least one eigenvalue with ||...

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(a) Prove that if det A > 1, then A has at least one eigenvalue with |λ| > 1.
(b) If |det A| < 1, are all eigenvalues |λ| < 1? Prove or find a counter example.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 09:05 AM

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(a) Prove that if det A > 1, then A has at least one eigenvalue with ||...

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