[12 points] The linear system 10x1 + x2+x3 = x1+10x2+x3 = 1+2+10x3 = 222 has unique solution x1 = x2 = x3 = 1. Starting from 0 = (0,0,0) perform Two iterations using Jacobi • One iteration using Gauss-Sidel. i) Calculate the relative errors for the three iterations using the 1-norm. Which seems to converge faster? ii) Show that Jacobi's method will converge for this matrix regardless of the starting point ro Now apply two Jacobi iterations for the problem 2x1+5x2+5x3 == 12 5x1 + 2x2+5x3 = 5x1+5x2+2x3 12 = 12 starting from ro = (0,0,0). iii) Does the method appear to converge? Explain why? Please include in your assignment: Written answer to parts (i) (iii). You also can include your printouts from Matlab.