Problem 4 For the linear systems below 1) Find all solutions, if any exists, by using the Gaussian elimination method. 2) Find all solutions, if any exists, by using the Gauss-Jordan reduction method. (a) x+y+2z+3w 13 x-2y+z+w=8 3x + y + z-w=1 (b) x+y+z=1 x+y-2z=3 2x + y + z = 2 (c) 2x+y+z 2w = 1 3x-2y+z 6w = -2 x+y z w= -1 6x + z-9w= -2 5x-y+2z-8w = 3