Let A be a diagonalisable 3 x 3 matrix with rational entries. Working over R on V = R³: (a) Is it possible that A has two distinct irrational eigenvalues and one rational one? (b) Is it possible that A has one irrational eigenvalue and two distinct rational ones? (c) Is it possible that A has three distinct rational eigenvalues? Select one: O Yes to (c) and No to (a), (b) Yes to all No to (a) and Yes to (b), (c) No to (b) and Yes to (a), (c) O None of the others apply

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