# Group theory

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1) Let G be the set of 2x2 matrices given by

show that G is a group under matrix multiplication. You may assume that matrix multiplication is associative.

2) Let G be a group,... prove that G is Abelian.

See attachment.

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#### Solution Summary

This shows how to prove that G is a group under matrix multiplication and also how to prove that a group is Abelian.

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