A system of linear equations can be described in a matrix equation Ax = b with [2 A = |1 l-1 5 4] -1 1 2 y and b = |b2 a. Determine if the columns of the matrix A span R. Give your arguments. b. If the system is homogeneous, describe the trivial solution of the system (if any) in parametric vector form. Also, give a geometric description of the solution set. Give the clear argument. c. If the system is nonhomogeneous and consistent, describe b in parametric vector form. Give the clear argument. d. If b, = 5,b, = -3, b, = 0, is the system consistent? Give valid argument. Find the solution set of the system. Compare the solution set with the trivial solution of the homogeneous system in b.