Template:Permutations of 3 elements; all matrices; gray
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Matrix of a 3-element permutation
Depending on the direction of the cycle (ccw/cw), the multiplication corresponds prefix/postfix notation (left/right action).
Left action corresponds to the usual function composition. See also v:Permutation notation.
The permutations 
and 
are not-self inverse, and their matrices are easy to confuse.
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