Let A be an n x n matrix. Suppose that there exists an

Last updated: 7/19/2022

Let A be an n x n matrix. Suppose that there exists an invertible matrix P such that P-¹AP = D, where D is a diagonal matrix. Consider the following statements. (i) A² = P²D² (P-¹)² (ii) A² = P-¹D²P Which of the above statements is always true? (a) (i) only (b) (ii) only (c) (i) and (ii) (d) neither