5. Consider the permutations f 1 2 3 4 2 1 3 4 on the set {1, 2, 3, 4). (a) Find fog and go f. (b) F Find f, and verify that ƒoƒ-¹ = (c) ( Find g¹, and verify that and g= 1 2 3 4 3142 1 2 3 4 1 2 3 4 12 ) = 5¹ of 908¹-(1 2 3 4) = 9¹09 gog-¹ =g¹og
5. Consider the permutations f 1 2 3 4 2 1 3 4 on the set {1, 2, 3, 4). (a) Find fog and go f. (b) F Find f, and verify that ƒoƒ-¹ = (c) ( Find g¹, and verify that and g= 1 2 3 4 3142 1 2 3 4 1 2 3 4 12 ) = 5¹ of 908¹-(1 2 3 4) = 9¹09 gog-¹ =g¹og
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
![5. Consider the permutations
f=
on the set {1, 2, 3, 4).
(b) T
(c) (
1234
2 1 3 4
Find fog and go f.
Find f, and verify that
Find g, and verify that
1
gog-¹ = (
1
1 2 3 4
and g
3
1
4 2
sos¹ = ( 1 2 3 4) = ² os
2 3 4
)
=g-log
2 3 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5734f184-30ab-48d6-8f9b-4c0294944217%2Fe74cb2b7-3c50-422e-aa99-ffb18d9211f3%2F6kyrj95_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Consider the permutations
f=
on the set {1, 2, 3, 4).
(b) T
(c) (
1234
2 1 3 4
Find fog and go f.
Find f, and verify that
Find g, and verify that
1
gog-¹ = (
1
1 2 3 4
and g
3
1
4 2
sos¹ = ( 1 2 3 4) = ² os
2 3 4
)
=g-log
2 3 4
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