A matrix A is given along with an iterate X- 2,760 A- X5 533 (a) Compute the next iterate x6 7573 X6AX5 2293 Use these data to approximate a dominant eigenvector whose first component is 1 and a corresponding dominant eigenvalue. (Use three-decimal-place accu dominant eigenvector 0.30278 dominant eigenvalue 7573 x (b) Compare the approximate eigenvalue from part (a) with the actual dominant eigenvalue 1. Find the characteristic polynomial. det(A-1) 22-52+3 Find the dominant eigenvalue. 5+13 5-13 = 2 2 X