Let A be a diagonalisable 3 x 3 matrix with real entries. Working over C on V = C³: (a) Is it possible that A has three distinct strictly complex eigenvalues? (b) Is it possible that A has two distinct strictly complex eigenvalues and one real one? (c) Is it possible that A has one strictly complex eigenvalue and two distinct real ones? (d) Is it possible that A has three distinct real eigenvalues? Select one: (a), (b) No and (a), (d) Yes (b), (d) No and (a), (c) Yes (a), (c) No and (b),(d) Yes (a), (d) No and (b), (c) Yes None of the others apply

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