Le the matrix A be A: = [1 2 -2] 02 1 00 1 (a) What is the characteristic polynomial p(A) of A? (b) Find all eigenvalues of A and state their multiplicities. (c) For each distinct eigenvalue of A, find its corresponding eigenvector(s). (d) Find an invertible matrix P and a diagonal matrix D such that P-¹AP = D or explain why there is no such matrix P.

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A: We have to find the eigenvalues and eigenvectors of the given matrix. 13-3-18-124189-3-14

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