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you may assume that matrix multiplication is associative and that The determinant | a 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| Is Gl₂(R) abelian? If the answer is NO, give an example.

you may assume that matrix multiplication is associative and that The determinant | a 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| Is Gl₂(R) abelian? If the answer is NO, give an example.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
Problem 45PS
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you may assume that matrix multiplication is associative and that The determinant | a 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| Is Gl₂(R) abelian? If the answer is NO, give an example.
Transcribed Image Text:you may assume that matrix multiplication is associative and that The determinant | a 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| Is Gl₂(R) abelian? If the answer is NO, give an example.
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