Given the system Ax = b has the solution

X^T = [3-2s+3t - t-3s - s - 2t-2s-5 - 4-3t - t] (dashes only included for distinction)

Write this solution as a linear combination of the particular solution and the homogeneous solution (clearly label each) and identify the basic solution vectors to the corresponding system Ax = 0? Does this system have an invertible matrix? Why or Why not?

Any suggestions would be appreciated.