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Let G denote the set of all 2 x 2 real matrices with determinant equal to 1. Prove that

Chapter 5, Problem 5.17

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QUESTION:

Let G denote the set of all 2 x 2 real matrices with determinant equal to 1. Prove that G is agroup with respect to multiplication. (You may assume associativity.)

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QUESTION:

Let G denote the set of all 2 x 2 real matrices with determinant equal to 1. Prove that G is agroup with respect to multiplication. (You may assume associativity.)

ANSWER:

Step 1 of 3

Consider that the matrix multiplication is associative and .

Consider that .

Since,

                                                           

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