1. Let G be the group of all 2 x 2 matrices where ad - bc * 0 and a, b, c ,d are integer modulo 3, relative to matrix multiplication. Show that o (G) = 48. 2. Let G be a finite nontrivial group. Suppose for all x E G, there exists y E G such that x = y2, Prove that the order of G is odd and conversely.