2) Suppose that A is a square matrix and let p(x) be a polynomial with real coefficients with variable x. If p(x) = E a;x' i = 1 , then define p(A) = E a¡A' .If,A is an eigenvalue of A, the show that p() is an eigenvalue of p(A). i = 1

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A: By definition of Eigenvalues, we have:

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A: Matrix decomposition.

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A: We will   solve this statement

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A: Please check step 2 for the solution.!

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A: My solution is correct,  so request you to check your options  for q please.

Q: For matrices A and B with B invertible AB and BA have the same eigenvalues.

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