Explore BrainMass

Explore BrainMass

    Group theory

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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 May 24, 2023, 1:36 pm ad1c9bdddf


    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.