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A rank-one matrix A is determined by A = u*v_transpose with u = [1, 2, 1]_transpose , and v = [2, 1, 2]. Find A,

A rank-one matrix A is determined by A = u*v_transpose with u = [1, 2, 1]_transpose , and v = [2, 1, 2]. Find A, its eigenvalues, and its eigenvectors

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