DO NOT USE CODE FROM CHEGG STUDY TEXTBOOK SOLUTIONS.

Carry out the steps of Computer Problem l with n = 100 for (a) Gauss-Seidel Method and (b) SOR With omega = 1.2. Use the Jacobi Method to solve the sparse system within six correct decimal places (forward error in the infinity norm) for n = 100 and n = 100000. The correct solution is [1, ..., 1]. Report the number of steps needed and the backward error. The system is [3 -1 -1 3 -1 -1 3 -1 -1 3][x_1 x_n] = [2 1 1 2]