Please answer the following question with complete details. Thank you!

Use the Jacobi and Gauss-Seidel method to solve Ax = b with = 10^-5 using the integral_infinity as the stopping criteria and compare the number of iterations it takes for each method to reach the tolerance. Here, the entries of A are aij = 2i, when J = i and i = 1, 2, ellipsis, 80, 0.5i, when j = i + 2 and i = 1, 2, ellipsis, 78, j = i - 2 and i 3, 4, ellipsis, 80, 0.25i When j = i + 4 and i 1, 2, ellipsis, 76, j = i - 4 and i = 5, 6, ellipsis, 80, 0, otherwise, and the entries of b are b_i = pi for each i = 1, 2, ellipsis, 80 Your code should print the number of iterations for each method, the first 10 elements in the solution vector x, and the l_2 norm of x