3. (30 pts) (Problem 9.12): Given the system of equations 2X1 + X2-X3-1 5x1 + 2x2 + 2x,--4 3x1 x2 x3 5 b) Write a MATLAB function using Gauss-Jordan elimination to solve for xi, x2, and x3; c) Check your answer using the 'check' function you wrote in problem 2.e to verify the solution; d) If equation (1) and (2) remain the same, but equation (3) is changed to 2.5x1 +x2x3-5, write the equations into the format of Ax -b, calculate the determinant of matrix A using the function you wrote in problem 1.c, and discuss the solution of the new system of equations e) If equation (1) and (2) remain the same, but equation (3) is changed to 3xi + x2 + 3x35, write the equations into the format of Ax = b, calculate the determinant of matrix A using the function you wrote in problem 1.c, and discuss the solution of the new system of equations