Consider the linear system x + 3y + 4z = 0 x + y + z = 2 x + 2y + 3az = b where a and b are scalars. (a) Write this system as a augmented coefficient matrix. (b) Find the row reduced echelon form of this matrix. (c) For what values of a and b does this system have no solutions, one solution, and infinitely many solutions?