Solve the following homogeneous linear systems.
(a) x + y - 2z = 0
-x + 4y -3z = 0
(b) 2x + 3y - z = 0
-4x+3y-5z = 0
x - 3y + 3z = 0
(c) -x+y-4z = 0
- 2x + 2y - 6z = 0
x + 3y + 3z = 0
(d) x +2y-2z + w = 0
-3x + z - 2w = 0
(e) -x+3y - 2z+w=0
-2x + 5y + z-2w =0
3x-8y-z - Aw = 0
(f) -y + z = 0
2x - 3 w = 0
x +y-2w> = 0
y - 3z + w = 0