Let o = (143)(2576) and T = (17)(253)(46) be permutations in S7. Compute (a) то (b) OT (c) o²
Let o = (143)(2576) and T = (17)(253)(46) be permutations in S7. Compute (a) то (b) OT (c) o²
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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I dont need full solution, just please explain to me how to get the bottom row that's circled (with a question how?). i just don't understand how? please just provide a text or show me steps. Thank you!
Transcribed Image Text:Let \(\sigma = (143)(2576)\) and \(\tau = (17)(253)(46)\) be permutations in \(S_7\). Compute
(a) \(\tau\sigma\)
(b) \(\sigma\tau\)
(c) \(\sigma^2\)
![The image displays mathematical permutations using cycle notation.
For permutation \(\sigma\):
- \(\sigma = (143)(2576)\)
- Writing it in two-line notation:
- \[
\begin{array}{ccccccc}
1 & 2 & 3 & 4 & 5 & 6 & 7 \\
4 & 5 & 1 & 3 & 7 & 2 & 6 \\
\end{array}
\]
- A note asks "How?" indicating a request for clarification on how this conversion was done.
For permutation \(\tau\):
- \(\tau = (17)(253)(46)\)
- First step of converting cycle notation directly to sequence:
- \((672572623741)\)
- Eventually written in two-line notation:
- \[
\begin{array}{ccccccc}
1 & 2 & 3 & 4 & 5 & 6 & 7 \\
7 & 5 & 2 & 6 & 3 & 4 & 1 \\
\end{array}
\]
- Another "How?" note requesting an explanation for this step.
The annotation at the bottom requests help in explaining these steps. It asks specifically for an explanation instead of a full solution: "please just Explain How? I don’t need full solution just this step. Thanks!"](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6214fda8-f992-4e88-b320-5195339361f5%2F2f38eb03-2ad1-4463-b2a2-ab4f058feb37%2F8oi0vug_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image displays mathematical permutations using cycle notation.
For permutation \(\sigma\):
- \(\sigma = (143)(2576)\)
- Writing it in two-line notation:
- \[
\begin{array}{ccccccc}
1 & 2 & 3 & 4 & 5 & 6 & 7 \\
4 & 5 & 1 & 3 & 7 & 2 & 6 \\
\end{array}
\]
- A note asks "How?" indicating a request for clarification on how this conversion was done.
For permutation \(\tau\):
- \(\tau = (17)(253)(46)\)
- First step of converting cycle notation directly to sequence:
- \((672572623741)\)
- Eventually written in two-line notation:
- \[
\begin{array}{ccccccc}
1 & 2 & 3 & 4 & 5 & 6 & 7 \\
7 & 5 & 2 & 6 & 3 & 4 & 1 \\
\end{array}
\]
- Another "How?" note requesting an explanation for this step.
The annotation at the bottom requests help in explaining these steps. It asks specifically for an explanation instead of a full solution: "please just Explain How? I don’t need full solution just this step. Thanks!"
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