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Consider the matrix A with rows (1, 6) and (3, -2). (a) Find all eigenvalues and corresponding eigen ...

Consider the matrix A with rows (1, 6) and (3, -2). (a) Find all eigenvalues and corresponding eigenvectors of A. (b) Find an invertible matrix U and a diagonal matrix D such that A = U D U^(-1), and use this to compute A^123 applied to the vector (-1, 1).

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