Answered: Enter the smallest subgroup of M2(ℝ)×…

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Enter the smallest subgroup of M2(ℝ)× containing the matrix (−2 −1 3 1), as a set.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.5: Normal Subgroups

Problem 2E: 2. Show that is a normal subgroup of the multiplicative group of invertible matrices in .

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Question

Enter the smallest subgroup of M₂(ℝ)^× containing the matrix (−2 −1

3 1),

as a set.

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