If the eigenvalues of a 3×3 matrix A is 1, −2 and 20, what are the eigenvalues of A-1?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 1BEXP
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If the eigenvalues of a 3×3 matrix A is 1, −2 and 20, what are the eigenvalues of A-1?

 

 

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