(a) Prove that if 0 is a nonzero eigenvalue of A, then 1 / ...

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(a) Prove that if λ ≠ 0 is a nonzero eigenvalue of A, then 1 / λ is an eigenvalue of A-1.
(b) What happens if A has 0 as an eigenvalue?
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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