b. Let 4 and B are square matrices of the same order and let S non-singular matrix and4 similar to B. such that 8=SAS. Prove that fa) = fe), where f0)= det (A ) and A is an eigenvalue. A ST

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 59EQ
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b. Let 4 and B are square matrices of the same order and let S non-singular matrix and4
similar to B. such that =S-AS. Prove that f. = fa), where f.) = det A
and A is an eigenvalue.
A ST
Transcribed Image Text:b. Let 4 and B are square matrices of the same order and let S non-singular matrix and4 similar to B. such that =S-AS. Prove that f. = fa), where f.) = det A and A is an eigenvalue. A ST
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