Given a matrix $A=\begin{pmatrix}a&b\\c&d\end{pmatrix}$,
its transpose, obviously, is $A^T=\begin{pmatrix}a&c\\b&d\end{pmatrix}$.
But is there a conventional way of notating the matrix
 $\begin{pmatrix}d&b\\c&a\end{pmatrix}$
in terms of $A$?
This generalizes in an obvious way to larger matrices.
Also, do you know of some instance where this has been useful, especially in a geometric application?

I realize this seems like a dumb question, but I'm working on something where this matrix operation has come up in a significant way.  It would be nice to see if anyone has had something similar happen.

For now I've been using $A_T$.