Let Z denote the set of integers, and let 1 0 G 0 1 0 0 |a Z} 0 1 Prove that G together with the usual matrix multiplication forms a group

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.3: De Moivre’s Theorem And Roots Of Complex Numbers
Problem 19E
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Let Z denote the set of integers, and let
1
0
G 0 1
0 0
|a Z}
0
1
Prove that G together with the usual matrix multiplication forms a group
Transcribed Image Text:Let Z denote the set of integers, and let 1 0 G 0 1 0 0 |a Z} 0 1 Prove that G together with the usual matrix multiplication forms a group
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