This problem is only for those who have studied linear algebra. Let G be the set of 22
Chapter 40, Problem 40.11(choose chapter or problem)
This problem is only for those who have studied linear algebra. Let G be the set of 22 real matrices a b c d with ad bc 6D 0. Prove that G, together with the operation of matrix multiplication, is a group. Note that the set of all 2 2 real matrices do not form a group because some matrices, such as 1 1 1 1 , are not invertible. We discard the noninvertible matrices, and what remains is a group. This is analogous to our transformation from Zn to Z n
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