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.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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