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MyWikiBiz, Author Your Legacy — Wednesday November 13, 2024
Jump to navigationJump to search→Symmetric Group S<sub>3</sub>: format table of matrices
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; text-align:center; width:90%"
Matrix Representations of Permutations in Sym(3)
|+ <math>\text{Matrix Representations of Permutations in}~ \operatorname{Sym}(3)</math>
|- style="background:#f0f0ff"
| | | | | | |
| width="16%" | <math>\operatorname{e}</math>
| e | f | g | h | i | j |
| width="16%" | <math>\operatorname{f}</math>
| | | | | | |
| width="16%" | <math>\operatorname{g}</math>
| width="16%" | <math>\operatorname{h}</math>
| width="16%" | <math>\operatorname{i}</math>
| width="16%" | <math>\operatorname{j}</math>
|-
|
<math>\begin{matrix}
1 & 0 & 0
</pre>
\\
0 & 1 & 0
\\
0 & 0 & 1
\end{matrix}</math>
|
<math>\begin{matrix}
0 & 0 & 1
\\
1 & 0 & 0
\\
0 & 1 & 0
\end{matrix}</math>
|
<math>\begin{matrix}
0 & 1 & 0
\\
0 & 0 & 1
\\
1 & 0 & 0
\end{matrix}</math>
|
<math>\begin{matrix}
1 & 0 & 0
\\
0 & 0 & 1
\\
0 & 1 & 0
\end{matrix}</math>
|
<math>\begin{matrix}
0 & 0 & 1
\\
0 & 1 & 0
\\
1 & 0 & 0
\end{matrix}</math>
|
<math>\begin{matrix}
0 & 1 & 0
\\
1 & 0 & 0
\\
0 & 0 & 1
\end{matrix}</math>
|}
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