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Let R*= R\ {0} be the set of nonzero real numbers. Let G= {2x2 matrix: row...

Let R*= R\ {0} be the set of nonzero real numbers. Let

G= {2x2 matrix: row 1(a b) row 2 (0 a) | a in R*, b in R}

(a) Prove that G is a subgroup of GL(2,R)

(b) Prove that G is Abelian

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