Linear Algebra/The Permutation Expansion/Solutions

Solutions

These summarize the notation used in this book for the $2$- and $3$- permutations.

$\begin{array}{ccc}i& 1& 2\\ {\varphi }_1(i)& 1& 2\\ {\varphi }_2(i)& 2& 1\end{array}\begin{array}{cccc}i& 1& 2& 3\\ {\varphi }_1(i)& 1& 2& 3\\ {\varphi }_2(i)& 1& 3& 2\\ {\varphi }_3(i)& 2& 1& 3\\ {\varphi }_4(i)& 2& 3& 1\\ {\varphi }_5(i)& 3& 1& 2\\ {\varphi }_6(i)& 3& 2& 1\end{array}$

References

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