Exercise 4. Consider the following permutations in S9 (1 2 3 4 5 6 7 8 9 (1 2 3 4 5 6 7 8 9 and 7 = 3 52 1 4 6 9 7 8 5 2 6 7 1 3 89 4 1) Write o, 1, o and 7 in cycle notation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Exercise 4.
Consider the following permutations in S9
1 2 3 4 5 6 7 8 9
(1 2 3 4 5 6 7 8 9
and t =
3 5 2 1 4 6 9 7 8
5 2 6 7 1 3 8 9 4
1) Write o , t, o
and
in cycle notation.
2) Write o and 7 as a product of 2-cycles.
3) What is | 0|? What is | T |? And what is | ot |?
4) Compute or .
5) Find oro. Write your answer in cycle notation.
6) Find a by solving oa = t. Write your answer in cycle notation.
Transcribed Image Text:Exercise 4. Consider the following permutations in S9 1 2 3 4 5 6 7 8 9 (1 2 3 4 5 6 7 8 9 and t = 3 5 2 1 4 6 9 7 8 5 2 6 7 1 3 8 9 4 1) Write o , t, o and in cycle notation. 2) Write o and 7 as a product of 2-cycles. 3) What is | 0|? What is | T |? And what is | ot |? 4) Compute or . 5) Find oro. Write your answer in cycle notation. 6) Find a by solving oa = t. Write your answer in cycle notation.
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