Question 1. Suppose GL(2, R) = {[a b] a, b, c, d € R, and ad — bc ± 0} be the 1 general linear group of 2 × 2 matrices over R under the matrix multiplication and SL(2, R) = {[a b]|a, b, c, d € R, and ad — bc = 1} be the special linear group of 2 x 2 matrices over R under the matrix multiplication. 1. Given an example of an element in GL(2, R) that is not in SL(2, R) 2. What is the inverse of [73] € SL(2, R)? 3. Explain why SL(2, R) is a subgroup of GL(2, R)

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