Permutation matrix notation

Question

What is the official notation (and the source of the notation) of the following permutations matrices (one shift left of identity matrix):

For $n=2$

$P = \left(\begin{matrix}0 & 1\\ 1&0\end{matrix}\right)$

For $n=3$

$P = \left(\begin{matrix}0 & 0 & 1\\ 1 & 0 & 0 \\ 0 & 1 & 0\end{matrix}\right)$

You may borrow the notations from permutation group https://en.wikipedia.org/wiki/Permutation_group — Ziyuan, Sep 05 '13 at 09:47
$P$ stands for Permutation, I think. Unfortunately, somtimes $P$ stands for other matrices as well, i.e., for alternating sign matrices: http://en.wikipedia.org/wiki/Alternating_sign_matrix. — Dietrich Burde, Sep 05 '13 at 11:56

score 0 · Answer 1 · answered Sep 05 '13 at 09:49

Horn and Johnson in their book on Matrix Analysis use the same $P$. Look at this:

1 Answers1