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For each of the following matrices A, determine (i) if A is diagonalizable over R and (ii) if A is diagonalizable over C. When A

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For each of the following matrices A, determine (i) if A is diagonalizable over R and (ii) if A is diagonalizable over C. When A is diagonalizable over C, find the eigenvalues, eigenspaces, an eigenbasis, and an invertible matrix P and diagonal matrix D such that P-1AP = D. 3 -1 1 (a) A = 2 0 2 0 ( b) A = ONOO -NOOO HOOOL NO OH 0 (c) A = 0 2 0 0 2

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