Proof 3. Let G be the set of all real 2x2 matricesa b0 dwhere ad +0, under matrix multiplication.{{: :)}1Let N=Prove that(a) N is a normal subgroup of G.(b) G/N is abelian.

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Answered: 3. Let G be the set of all real 2x2…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter7: Real And Complex Numbers

Section7.2: Complex Numbers And Quaternions

Problem 50E

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3. Let G be the set of all real 2x2 matrices where ad # 0, under matrix multiplication. 1 b Let N= Prove that 1 (a) N is a normal subgroup of G. (b) G/N is abelian.