Determine all the values of a and b (if they exist), so that the following system of linear equations ax +3ay + 8z + (a² +4)w=b 2x + 6y + az + 10w = 3 X +3y + 2z +5w = 0 X + 5y + 5w = 2 (a) is inconsistent; (b) has infinitely many solutions. With these values of a and b, find the set of solutions of the system by using Gauss-Jordan elimination.
