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MyWikiBiz, Author Your Legacy — Wednesday April 09, 2025
Jump to navigationJump to search→Symmetric Group S<sub>3</sub>: format table of matrices
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o---------o---------o---------o---------o---------o---------o+o=========o=========o=========o=========o=========o=========o+| | | | | | |+| 1 0 0 | 0 0 1 | 0 1 0 | 1 0 0 | 0 0 1 | 0 1 0 |+| 0 1 0 | 1 0 0 | 0 0 1 | 0 0 1 | 0 1 0 | 1 0 0 |+| 0 0 1 | 0 1 0 | 1 0 0 | 0 1 0 | 1 0 0 | 0 0 1 |+| | | | | | |+o---------o---------o---------o---------o---------o---------o+
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−<pre>
+{| 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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