Suppose the 3 x 3 matrix A has eigenvalues A =-6, A2=-2, and A = 5. (a) Let v be randomly chosen vector in R. Set and for k> 0 set Fo= 23 Ao = xo Axo Tk+1= Ark ||AT||' i. What number do you expect A to converge to? Ak+1=Xk+1 AXK+1 ii. What number do you expect Ar-Al to converge to? iii. For large k, a is approximately an eigenvector corresponding to which eigenvalue of A? (1) @