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    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.

    © BrainMass Inc. brainmass.com October 9, 2019, 4:17 pm ad1c9bdddf
    https://brainmass.com/math/group-theory/group-theory-matrix-manipulation-abelian-group-28157

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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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