text: Set this up as an the following: Ax = b\n\nA = [2 -1 1;1 2 -1;3 1 -2]\nb = [-2; 6; 0]\n\nUsing Gaussian elimination you can get the solution x = 0, y = 4, and z = 2.\n\nThe determinant of A is 10, but I don't see where that gets you.\n\nThere is a process for calculating the determinant that is close to Gaussian elimination, but if you are going to use that process you won't need the value of the determinant anyway.