Let GL(2, 11) be the group of all invertible 2 × 2 matrices with entries in Z₁1, with group operation given my matrix multiplication. Consider the following two matrices in this group (where an entry listed as k is shorthand for [k]11): (3 3 10 4- (1₂0). B- (B) A = = 8 8 (iii) List all the elements of G, together with their orders.

Let GL(2, 11) be the group of all invertible 2 × 2 matrices with entries in Z₁1, with group operation given my matrix multiplication. Consider the following two matrices in this group (where an entry listed as k is shorthand for [k]11): (3 3 10 4- (1₂0). B- (B) A = = 8 8 (iii) List all the elements of G, together with their orders.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.6: Quotient Groups

Problem 15E: 15. Repeat Exercise with, the multiplicative group of matrices in Exercise of Section. 14. Let be...

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