True or false (with counterexample if false): (a) If B is formed from A by exchanging
Chapter 5, Problem 5.8(choose chapter or problem)
True or false (with counterexample if false): (a) If B is formed from A by exchanging two rows, then B is similar to A. (b) If a triangular matrix is similar to a diagonal matrix, it is already diagonal. (c) Any two of these statements imply the third: A is Hermitian, A is unitary, A 2 = I. (d) If A and B are diagonalizable, so is AB.
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