(4) Let G be the set of 2x2 real matrices A with both eigenvalues having absolute value equal to 1. Is G a group with respect to matrix multiplication?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 24E
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(4) Let G be the set of 2x2 real matrices A with both eigenvalues having
absolute value equal to 1.
Is G a group with respect to matrix multiplication?
Transcribed Image Text:(4) Let G be the set of 2x2 real matrices A with both eigenvalues having absolute value equal to 1. Is G a group with respect to matrix multiplication?
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