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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).

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G1 is the group of 2x2 non-singular matrices under matrix multiplica.pdf

  • 1. 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).