Use the following examples to illustrate that if o and 7 are disjoint cycles then they commute. Otherwise, they do not commute. (a) In S3, let a = (1 2) and 7 = (2 3). (b) In S7, let o = (1 4 3) and 7 (25 6). %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 1E
Question
Use the following examples to illustrate that if o and 7 are disjoint cycles then they
commute. Otherwise, they do not commute.
(a) In S3, let o = (1 2) and 7 = (2 3).
(b) In S7, let o = (1 4 3) and 7 = (2 5 6).
Transcribed Image Text:Use the following examples to illustrate that if o and 7 are disjoint cycles then they commute. Otherwise, they do not commute. (a) In S3, let o = (1 2) and 7 = (2 3). (b) In S7, let o = (1 4 3) and 7 = (2 5 6).
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