Let ơ, t E S6 such that 1 2 3 4 5 = аnd 6 4 35 12 Determine the following: (a) Cycle decomposition of o. (f) Cycle d- (b) 2-cycle decomposition of o. (g) 2-cycle (c) Is o odd or even? Why? ( h) Is τοdd (d) |o| (i) |T|
Let ơ, t E S6 such that 1 2 3 4 5 = аnd 6 4 35 12 Determine the following: (a) Cycle decomposition of o. (f) Cycle d- (b) 2-cycle decomposition of o. (g) 2-cycle (c) Is o odd or even? Why? ( h) Is τοdd (d) |o| (i) |T|
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Let o, 1 E S6 such that
3
4 5
6
2
3
6.
1
O =
6.
1
4 5
and
4
1
2 3
1
4
Determine the following:
(a) Cycle decomposition of o.
(f) Cycle decomposition of r.
(k) 7².
(b) 2-cycle decomposition of o.
(g) 2-cycle decomposition of r.
(1) oT.
(c) Is o odd or even? Why?
(h) Is t odd or even? Why?
( m ) τσ.
(d) l이
(i) |디
(n) to²r-1
(e) The inverse o¯1 of o.
(j) The inverse t¯l of t.
(0) Find a e S6 such that on = t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff054445-f13f-4cb6-85a7-b39d780f58cd%2Fd5fc7996-86bd-485e-ae46-9b6f61186bc2%2Fudhvy59_processed.png&w=3840&q=75)
Transcribed Image Text:Let o, 1 E S6 such that
3
4 5
6
2
3
6.
1
O =
6.
1
4 5
and
4
1
2 3
1
4
Determine the following:
(a) Cycle decomposition of o.
(f) Cycle decomposition of r.
(k) 7².
(b) 2-cycle decomposition of o.
(g) 2-cycle decomposition of r.
(1) oT.
(c) Is o odd or even? Why?
(h) Is t odd or even? Why?
( m ) τσ.
(d) l이
(i) |디
(n) to²r-1
(e) The inverse o¯1 of o.
(j) The inverse t¯l of t.
(0) Find a e S6 such that on = t
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