Task 1 (5 points) A system of linear equations is given as 2xx2 + 0.5x,-7 x, + 4x2 + 0.5x3 = 8 x0.5x2+ 2x,-10.5 (a) Solve the system by Gauss elimination. Show your procedure. For this task (Task la) only, no. rounding is allowed in the intermediate steps. We want the exact solution. Save the outcome of this part as the "exact" solution, xs, for the use in Part (d). (b) Solve the system by the Jacobi iterative method, using (ri, x2, x3)-(0,0,0) as the initial guess and perform 20 iterations. Here, one iteration means updating all xi, x2, and x3 once. The deliverable is a list of the outcome of (xi, x2, x;) after each iteration. (c) Solve the system by the Gauss-Seidel iterative method, using (xi, x2, x3) (0,0,0) as the initial guess. (Note that with the Gauss-Seidel method the initial guess of x, is never used.) Perform 20 iterations. Again, one iteration means updating all xi, x, andxs once (see Example 4-8 in textbook) The deliverable is a list of the outcome of (xi, x2, x3) after each iteration