Is there a way in matrix math notation to show the 'flip up-down', and 'flip left-right' of a matrix? Title says it all - is there an accepted mathematical way in matrix notation to show those operations on a matrix?
Thanks.

$$\begin{pmatrix} 0 & 1 \\ 1 & 0\end{pmatrix} \begin{pmatrix} a & b \\ c & d \end{pmatrix} \begin{pmatrix} 0 & 1 \\ 1 & 0\end{pmatrix} = \begin{pmatrix} d & c \\ b & a\end{pmatrix}.$$
In general, left-multiplying by the anti-diagonal identity matrix swaps all rows. Right-multiplying swaps columns.
