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Consider the following permutations in S9 1 2 3 4 5 6 7 8 9 (1 2 3 4 56 7 8 and r= 3. 5214 6. 9 78 5 2 6 7 1 3 8 9 4 1) Write o,T, 0 and in cycle notation. 2) Write o and r as a product of 2-cycles. 3) What is |0|? What is |r|? And what is | or |? 4) Compute or. 5) Find to. Write your answer in cycle notation. 6) Find a by solving oa =t. Write your answer in cycle notation.

Consider the following permutations in S9 1 2 3 4 5 6 7 8 9 (1 2 3 4 56 7 8 and r= 3. 5214 6. 9 78 5 2 6 7 1 3 8 9 4 1) Write o,T, 0 and in cycle notation. 2) Write o and r as a product of 2-cycles. 3) What is |0|? What is |r|? And what is | or |? 4) Compute or. 5) Find to. Write your answer in cycle notation. 6) Find a by solving oa =t. Write your answer in cycle notation.

Advanced Engineering Mathematics
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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Parts 5 and 6 only please
Exercise 4. Consider the following permutations in S, 1 2 3 4 5 6 7 8 9 5 26 7 1 3 8 9 4 4 56 7 8 6. and r= 1 4 6 6. 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 r|? And what is | or |? 4) Compute or. 5) Find oto. Write your answer in cycle notation. 6) Find a by solving oa =r. Write your answer in cycle notation.
Transcribed Image Text:Exercise 4. Consider the following permutations in S, 1 2 3 4 5 6 7 8 9 5 26 7 1 3 8 9 4 4 56 7 8 6. and r= 1 4 6 6. 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 r|? And what is | or |? 4) Compute or. 5) Find oto. Write your answer in cycle notation. 6) Find a by solving oa =r. Write your answer in cycle notation.
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