Question: Let A be an n x n matrix with eigenvalues M1 = 1 and = 12 = -1 and corresponding eigenvectors v, and v2, respectively.

Let A be an n x n matrix with eigenvalues M1 = 1 and = 12 = -1 and corresponding eigenvectors v, and v2, respectively. Let x = 2v1 - 3v2. a. Prove that A* x = x. (Note that your proof should be written in a way that convinces a skeptic. That means that you should make each logical step explicit and use complete sentences so that the skeptical reader understands how the logic is connected.) b. Is x an eigenvector for the matrix A*? If so, what is its corresponding eigenvalue. Justify your response using complete sentences

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