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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}

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.CR: Chapter Review
Problem 11CC
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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}
Transcribed Image Text: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}
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