7. Find the orders of the following members of S16, and determine which pairs of them are conjugate:(i) (157 16)(2 11 13) (3 6) (8 10 12),(ii) (34) (59)(6 14) (7 10 11),(iii) (1 14)(2 4 8) (5 10) (6 7).

Answered: 7. Find the orders of the following…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 33EQ

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Answer the following questions. 4. Describe how the permutation of ii objects differs from the permutation of choosing r objects from a set of n objects. Include how each is calculated.
Find the orders of the following members of S16, and determine which pairs of them are conjugate: (i) (1 5 7 16) (2 11 13) (3 6)(8 10 12), (ii) (3 4) (5 9) (6 14) (7 10 11), (1 14) (2 4 8)(5 10)(6 7).
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7. Find the orders of the following members of S16, and determine which pairs of them are conjugate: (i) (157 16)(2 11 13) (3 6) (8 10 12), (ii) (34) (59)(6 14) (7 10 11), (iii) (1 14)(2 4 8) (5 10) (6 7).