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4. Let A1 > A2 > A3 be three positive eigenvalues of the following 3 x 3 symmetric positive denite matrix 3 1 0 P: 132 023 Apply the power method with the initial guess x0 = [1 O 0]T for eight times (the vector norm || H is taken to be H \"2) to get an approximation of the dominant eigenvalue A1 and its corresponding eigenvector v1. Hence obtain the approximations of the remaining two eigenvalues. (10 Points)