you may assume that matrix multiplication is associative and that The determinant a b If ad bc = 0 -1 = ad - bc , (a b)² = 1 (a b) For matrices A and B in M₂(R) the determinant of a product is the product of determinats involved, i.e. |AB| = |A||B| Write all the subgroups of the Quaternion group H = {1, −1, i, j, k, −i, —j,−k}

you may assume that matrix multiplication is associative and that The determinant a b If ad bc = 0 -1 = ad - bc , (a b)² = 1 (a b) For matrices A and B in M₂(R) the determinant of a product is the product of determinats involved, i.e. |AB| = |A||B| Write all the subgroups of the Quaternion group H = {1, −1, i, j, k, −i, —j,−k}

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Determinants

Section3.CR: Review Exercises

Problem 47CR

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