Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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! 

Let \(\sigma = (143)(2576)\) and \(\tau = (17)(253)(46)\) be permutations in \(S_7\). Compute (a) \(\tau\sigma\) (b) \(\sigma\tau\) (c) \(\sigma^2\)
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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!"
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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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