Matlab

1. Write a function called gauss_seidel that inputs an n x n matrix, A, a column vector, b, an initial guess x(), an error tolerance e, and a maximum number of iterations, and output an approximate solution obtained using the Gauss-Seidel method, the error and the number of iterations. The header should look like [x, err, N] = gauss-seidel (a, b, x0, tol, Nmax). Use the method to find approximate solutions to the linear system -2 100 0 2 10 -2 0 0 0 0 0-37L rs to within an accuracy of 10-5, with a maximum of N 100 iterations. If your method succeeds, report the number of iterations needed. If your method fails, offer a possible reason why Hint: to validate your approach, compare your solution with the one obtained by doing A\b