Let f(x) be a polynomial. Prove that if A and B are similar matrices then f(A) is

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Let f(x) be a polynomial. Prove that if A and B are similar matrices then f(A) is similar to f(B).

(a) Now show that similar matrices have the same characteristic polynomial.
(b) Show that similar matrices have the same minimal polynomial.
(c) Decide if these are similar.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:29 AM

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Let f(x) be a polynomial. Prove that if A and B are similar matrices then f(A) is

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Let A and B be similar A PBP 1 From the facts that An PBP 1 n PBP 1 PBP 1 PBP 1 PBP 1 PBP ...View the full answer

Linear Algebra

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