2) Consider the set SL(n, R) consisting of n x n matrices with real entries having de- terminant equal to 1. Prove that SL(n, R) is a group under the operation of matrix multiplication (it is referred to as the Special Linear Group).
2) Consider the set SL(n, R) consisting of n x n matrices with real entries having de- terminant equal to 1. Prove that SL(n, R) is a group under the operation of matrix multiplication (it is referred to as the Special Linear Group).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 33EQ
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Transcribed Image Text:2) Consider the set SL(n, R) consisting of n x n matrices with real entries having de-
terminant equal to 1. Prove that SL(n, R) is a group under the operation of matrix
multiplication (it is referred to as the Special Linear Group).
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