In each case write the system in the form AX = B, use the gaussian algorithm to solve the system, and express the solution as a particular solution plus a linear combination of basic solutions to the associated homogeneous system AX = 0.
(a) x1 - 2x2 + x3 + 2x4 + 3x5 = - 4
- 3x1 + 6x2 - 2x3 - 3x4 - 11x5 = 11
- 2x1 + 4x2 - x3 + x4 - 8x5 = 7
- x1 + 2x2 + 3x4 - 5x5 = 3