Given a system

a. Given the system of linear equations 5.1:, 2.Jr2 +.irJ =1 3.x. +615 +31:3 = 2 2x1 x2 4x3 = 3 I. Determine the convergence of the system 35er1!!! ii. Solve the system above, using Gauss- Seidel iteration method of the form, xi\") = poem +q where p = (D+L)_1U and q = {0+ LII!) with initial approximation of x" = 0 . Continue the iterations until two successive approximations are identical when rounded to three signicant digit. 3 marks Solve the system of linear equations xl+4x2=5 using Jacobi iterative method with an initial approximation, 1:" = (0,0). Continue performing iterations until two successive approximations are identical when rounded to three signicant digits. 6 marks