Question: 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

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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