Question: 10 Suppose F = C and T E L(V). Prove that there exist D, N E L(V) such that T = D + N, the

10 Suppose F = C and T E L(V). Prove that there
10 Suppose F = C and T E L(V). Prove that there exist D, N E L(V) such that T = D + N, the operator D is diagonalizable, N is nilpotent, and DN = ND

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