G1 is the group of 2x2 non-singular matrices under matrix multiplication. G2 is the same as G1. f is defined as f(a,b;c,d)=(a,c;b,d). Either prove f is a homomorphism or provide a counterexample Solution Let A=(1,2;3,1), B=(1,4;5,1). Then T(AB) is not equal to T(A)T(B)..