# Group theory

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.

© BrainMass Inc. brainmass.com October 9, 2019, 4:17 pm ad1c9bdddfhttps://brainmass.com/math/group-theory/group-theory-matrix-manipulation-abelian-group-28157

#### 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.

$2.19