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Exercise 8.3.1: Similarity and diagonalization. Determine whether the statement is true or false. Justify each answer or provide a counterexample when appropriate. (8) Nonsquare matrices can be similar. 03) If A and B are similar, then A and B are either both singular or both nonsingular. (C) Similar matrices have the same eigenvalues. (d) If a 3 x 3 matrix A only has two eigenvalues, then A cannot be diagonalizable. (e) If an n x n matrix A is row equivalent to the identity matrix, then A is diagonalizable. (f) Ifthe eigenvectors of an n X n matrix A form a basis for R\