+ Solve the system of equations 2x - 2y + z - w = 7 - x + 4y - 5z + 3w = 1 x + y - z + w = 4 -4x + 2y + z - 2w = 6 Commands: ========= eq1: 2*x-2*y+z-w=7; eq2: -x + 4*y - 5*z + 3*w = 1; eq3: x + y - z + w = 4; eq4: -4*x + 2*y + z - 2*w = 6; linsolve([eq1,eq2,eq3,eq4],[x,y,z,w]); Solution: ========= (%i1) eq1: 2*x-2*y+z-w=7; (%o1) z - 2 y + 2 x - w = 7 (%i2) eq2: -x + 4*y - 5*z + 3*w = 1; (%o2) - 5 z + 4 y - x + 3 w = 1 (%i3) eq3: x + y - z + w = 4; (%o3) - z + y + x + w = 4 (%i4) eq4: -4*x + 2*y + z - 2*w = 6; (%o4) z + 2 y - 4 x - 2 w = 6 (%i5) linsolve([eq1,eq2,eq3,eq4],[x,y,z,w]); 116 39 58 69 (%o5) [x = ---, y = --, z = - --, w = - --] 21 7 21 7 (%i6) Link to solution: ================= http://maxima-online.org/?inc=r-762047752