Solve the problem below. Show all your work. You must solve each part completely and correctly to get the indicated points for that part. Given the linear system 2x1 x2+x3 = 2 x1 + 2x2 + x3 = 1 4x1 +3x2+3x3 = 4 3x1+x2+2x3 = 3 a) Using the method of Gaussian elimination, find an echelon matrix for this system. (2 points) b) Find the reduced echelon matrix. (2 points) c) Solve the system, using part a) or part b). (1 point)