Answered: (a) Show that the set of matrices given…

(a) Show that the set of matrices given above equipped with the operation of matrix multiplication is a group. (b) Show that this group is not abelian.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.4: Transistion Matrices And Similarity

Problem 29E

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Question

(a) Show that the set of matrices given above equipped with the operation of matrix multiplication is a group. (b) Show that this group is not abelian.