For each of the following linear systems of equations

a. Showing your work, identify the complete solution set in vector form for the homogenous system, and

b. Find a particular solution for the Non-homogenous system and then find the complete solution for the non-homogenous system.

6 7 x + 3x + 2x3 = 0 x + x + x3 + x4 = 0 0x + x2 + 2x3 + 3x4 = 0 0x + 0x + 3x3 + 4x4 = 0 X + 3x + 2x3 = 10 x + x + x3 + x4 = 9 0x + x + 2x3 + 3x4 = 8 0x + 0x + 3x3 + 4x4