8. Let A and B are square matrices of the same order and let S non-singular matrix and A similar to B, such that A = S-¹BS. Then f₁() = f(), where fB (A) = det (B-AI) and λ is an eigenvalue. O True O False

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 26EQ
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8. Let A and B are square matrices of the same order and let S non-singular matrix and A
similar to B, such that A = S-¹BS. Then f2) = f(), where fB (A) = det (B-AI)
and λ is an eigenvalue.
O True
O False
Transcribed Image Text:8. Let A and B are square matrices of the same order and let S non-singular matrix and A similar to B, such that A = S-¹BS. Then f2) = f(), where fB (A) = det (B-AI) and λ is an eigenvalue. O True O False
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