In: Advanced Math
Solve each system. Express the solution set using vectors. Identify a particular solution and the solution set of the homogeneous system.
(a) 3x + 6y = 18
x + 2y = 6
(b) x + y = 1
x − y = −1
(c) x1 + x3= 4
x1 − x2 + 2x3 = 5
4x1 − x2 + 5x3 = 17
(d) 2a + b − c = 2
2a + c = 3
a − b = 0
(e) x + 2y − z = 3
2x + y + w = 4
x − y + z + w = 1
(f) x + z + w = 4
2x + y − w = 2
3x + y + z = 7