Question: please solve it 8. Suppose the 3 x 3 matrix A has eigenvalues A1 = -6, 12 = -2, and Aj = 5. (a) Let

please solve it

8. Suppose the 3 x 3 matrix A has eigenvalues A1 = -6, 12 = -2, and Aj = 5. (a) Let v be randomly chosen vector in R3. Set U CO = Axo An = Xo' (1) and for k > 0 set Ack Th+1 AKTI = Xk+1 AXk+1 (2) i. What number do you expect At to converge to? ii. What number do you expect Art - MEAll to converge to? ili. For large &, Is is approximately an eigenvector corresponding to which eigenvalue of A

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