1 2 3 4 5 6 7 2 4 1 3 6 5 8 7 Let p= (a) Write p as a product of dıisjoint cycles (b) Write p as a product of transpositions (c) Is p an even or odd permutation
1 2 3 4 5 6 7 2 4 1 3 6 5 8 7 Let p= (a) Write p as a product of dıisjoint cycles (b) Write p as a product of transpositions (c) Is p an even or odd permutation
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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QUESTION 6
1 2 3 4 5 6 7 8
2 4 1 3 6 5 8 7
Let p=
(a) Write p as a product of disjoint cycles
(b) Write p as a product of transpositions
(c) Is p an even or odd permutation?
(d) Determine the period of p
(e) Determine p-l
.ll
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14: 1 ·13• 1 ·12· I •11· 1 ·10 · 1 •9 · 1 •8· I •7•I•6•I•5 · I •4•I•3•I•2·1•1•I• •L•1•1:2 ]|](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94ea00a2-f5ad-495c-94c7-735caa6aac17%2Fc25458c2-0dc1-4e2d-bad9-dbc5b960923a%2Fwco4xkj_processed.png&w=3840&q=75)
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Calibri (Body) - 11
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• 2:1: 1:
| 3:1' 4: ·5.1 6.1:7 l:8: 1'9 ' 10: 1 '11: 1'12 :L·13:1' 14:' 15. LA:L 17:L · 18.
QUESTION 6
1 2 3 4 5 6 7 8
2 4 1 3 6 5 8 7
Let p=
(a) Write p as a product of disjoint cycles
(b) Write p as a product of transpositions
(c) Is p an even or odd permutation?
(d) Determine the period of p
(e) Determine p-l
.ll
03:54 PM
2021-09-19 Page: 1 of 1
B I E E E 90% e
Words: 0
+
14: 1 ·13• 1 ·12· I •11· 1 ·10 · 1 •9 · 1 •8· I •7•I•6•I•5 · I •4•I•3•I•2·1•1•I• •L•1•1:2 ]|
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