we can find the different cycle types of S3 and classified the 6 permutations of S3 accordingly. Write down all the cycle types for S4 and find the cycle type for each of the 24 permutations of S4 Resultn!Sn has'2*. na d,! dg! .. dn!permutations of kype [i^ gt. nte ]Example5!Ss has P'a!3! 1!5!2-s! [P2].= lo permutations of bypeTheyare(12) (3) (4) (5), (13) (2) (4)(8), (14) (2)()(),(15)(2)(3) (4), (23) (1) (4) (5), (24) (1) (a) (S),(25) (1)(3) (4),(34) (1) (2) (5), (35) (1) (2) (4),(45) (1)(2) (3),

Answered: Image /qna-images/answer/7636badb-3e1f-43aa-87b6-ff11dba0da8c.jpg

Answered: we can find the different cycle types…

we can find the different cycle types of S3 and classified the 6 permutations of S3 accordingly. Write down all the cycle types for S4 and find the cycle type for each of the 24 permutations of S4

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 51EQ

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Question

we can find the different cycle types of S₃ and classified the 6 permutations of S₃ accordingly. Write down all the cycle types for S₄ and find the cycle type for each of the 24 permutations of S₄

Result
n!
Sn has
'2*. na d,! dg! .. dn!
permutations of kype [i^ gt. nte ]
Example
5!
Ss has P'a!3! 1!
5!
2-s! [P2].
= lo permutations of bype
They
are
(12) (3) (4) (5), (13) (2) (4)(8), (14) (2)()(),
(15)(2)(3) (4), (23) (1) (4) (5), (24) (1) (a) (S),
(25) (1)(3) (4),
(34) (1) (2) (5), (35) (1) (2) (4),
(45) (1)(2) (3),

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