4.4. The symmetric matrix A = ⎛ ⎝ 47 32 8 32 −1 −16 8 −16 59 ⎞ ⎠ . has eigenvectors x1 = (2, 1, 0)T , x2 = (1,−2, 10)T, and x3 = (2,−4,−1)T . (a) Is this matrix positive definite? (b) What are the corresponding eigenvalues? (c) Assuming the starting vector y0 = (1, 1, 1)T , what eigenvalue will the power method converge to and what will be the resulting eigenvector?