Which of the following systems has
(i) A unique solution?
(ii) Infinitely many solutions?
(iii) No solution?
In each case, find all solutions:
(a) x-2y = 1
3x + 2y = -3
(b) 2x + y + 3z = l
x + 4y - 2z = -3
(c) x + y-2z = -3
2x-y + 3z = 7
x - 2y + 5z = 1
(d) x-2y + z = 6
2x + y - 3z = -3
x-3y + 3z= 10
(e) x - 2y + 2z - w = 3
3x + y + 6z + 11 w = 16
2x-y + 4z + w = 9
(f) 3x - 2y + z = 4
x+3y-4 z = -3
2x - 3y + 5z = 7
x -8y + 9z = 10
(g) x + 2y + 17z - 5w = 50
9x - 16y + l0z -8w = 24
2x - 5y - 4z = -13
6x - 12y + z - 4w = - 1