b) Let denote the set of all 2x2 matrices with integer coefficients, whose determinant is one....

 

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b) Let denote the set of all 2x2 matrices with integer coefficients, whose determinant is one. Verify whether or not is a group under matrix multiplication. (5 marks) c) Given a group G, define the centre of G,(z(G)) and show that it is a normal subgroup of G (4 marks) b) Let denote the set of all 2x2 matrices with integer coefficients, whose determinant is one. Verify whether or not is a group under matrix multiplication. (5 marks) c) Given a group G, define the centre of G,(z(G)) and show that it is a normal subgroup of G (4 marks)