you may assume that matrix multiplication is associative and that The determinant la = ad - bc 1, (ab)² = 1 (a b) If ad- bc 0, For matrices A and B in M₂ (R) the determinant of a product is the product of determinats involved, i.e. |AB| = |A||B| Prove that Gl₂ (R) = {(a = {(ab): ad - bc # 0} forms a group with respect to matrix multiplication.

you may assume that matrix multiplication is associative and that The determinant la = ad - bc 1, (ab)² = 1 (a b) If ad- bc 0, For matrices A and B in M₂ (R) the determinant of a product is the product of determinats involved, i.e. |AB| = |A||B| Prove that Gl₂ (R) = {(a = {(ab): ad - bc # 0} forms a group with respect to matrix multiplication.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 20EQ

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