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Are the following statements true or false? If true, prove the statement. If false, give...

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Algebra

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

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