Let:
A=[[2, -2], [-2, 3]]
B=[[5, -3], [2, -1]]

(a) Find AB, A(-1), and B(-1).
(b) Show that (AB)(-1) = B(-1)A(-1).

a) AB = [[2, -8], [-4, 11]], A(-1) = [[3/8, 1/4], [1/4, 1/2]], B(-1) = [[1/7, -3/7], [-2/7, 5/7]]
b) B(-1)A(-1) = [[3/8, 1/4], [1/4, 1/2]]