Problem 1 (150 Pts) Consider the system of equation Ax = b, in which the matrix A is 12 -3 4 8 3 -10 4 6 5 6 16 7 7 8 0 15 and the vector b = [50, 19, 93, 83]. Find the solution using 1. (100 Pts) Jacobi method and Gauss-Seidel methods. Use a relative residual tolerance of 10-8 for the solvers. 2. (20 Pts) Report the number of iterations taken to converge in the two methods 3. (30) Plot the relative residual b-A2 as a function of iteration number for the two methods. b2