If p(t) = co + Ct + c2t +...+ Cnt", then define p(A) to be the matrix formed by replacing each power of t in p(t) by the corresponding power of A with A° = I. That is, p(A) = cI+ cA+c2A? +...+ CnA". Show that if A is an eigenvalue of A, then one eigenvalue of p(A) is p(A).

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A: As per your request I have solved first subpart.

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