# Let G = GL(2, R) be the group of all 2 2 matrices with real entries

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## Question:

Let G = GL(2, R) be the group of all 2 × 2 matrices with real entries and a nonzero determinant.

Let H = SL(2, R) be the set of all 2 × 2 matrices with real elements and determinant equal to 1.

Test it

a) H is a normal subgroup in G.

b) G/H is isomorphic to the multiplicative group of reals * , · >

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