Question: 2 Problem 2 Are the following statements true or false? If true, prove the statement. If false, give a counterexample. 1. A matrix A E

2 Problem 2 Are the following statements true or false? If true, prove the statement. If false, give a counterexample. 1. A matrix A E R"x" with n real orthonormal eigenvectors is symmetric. 2. Assume that w 0 is an eigenvector for matrices A, B E Rnx, then AB - BA is not invertible. 3. If the Jordan canonical form of A is J, then that of A2 is J2

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