(3pt) Question 3 1) (1pt) Implement the Jacobi iteration method to solve the following system of linear equations: .0:131 = 2392 +x3 = 27 3z; + 9z, + Hx3 = 61.5 21 + 2 + 1023 = 12.0 Written: What is the matrix M for Jacobi iteration? Will Jacobi iteration converge? Justify you answer. Coding: Use initial guesses of zero for all variables and set a tolerance of = 1 x 10. Report the computed solution, the number of iterations required for convergence, and plot the convergence error (as the 2-norm of the error vector). 2) (1pt) Do the same, but for Gauss-Seidal. 3) (1pt) Do the same, but for SOR with w = 1.2