Let G = GL(2, R) and H = SL(2, R). Let AG and suppose that

Chapter 7, Problem 57E

(choose chapter or problem)

Let G = GL(2, R) and H = SL(2, R). Let A?G and suppose that det A = 2. Prove that AH is the set of all 2 × 2 matrices in G that have determinant 2.

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