For this problem, you don't really need to write a MATLAB generalized function to calculate the solution for a system for equations using Gauss Seidel method (If you can that's even better). What you can alternatively do is solve the three equations in problem 1 for x1, x2, and x3 and put them within a for loop. You can create dummy variables to store the previous iteration values of x1, x2, and x3 to calculate the error. Write a user-defined MATLAB function that solves a system of n linear equations, [a][x] = [b], with the Gauss-Seidel method. For the function name and arguments use x = Gauss Seidel(a, b), where a is the matrix of coefficients, b is the right-hand-side column of constants, and x is the solution. Use Gauss Seidel to solve problems 1. This is problem 1 as a reference, but solve problem 4. Carry out the first three iterations of the solution of the following system of equations using the Gauss Seidel iterative method For the first guess of the solution, take the value of all the unknowns to be zero. 8x_1 + 2x_2 + 3x_3 = 51 2x_1 + 5x_2 + x_2 + 6x_3 = 20