Originally Posted by

**aidan** Given a MATRIX

$\displaystyle \begin{pmatrix}

{a}&{b}&{c}&{d}\\

{e}&{f}&{g}&{h}\\

{i}&{j}&{k}&{l}\\

{m}&{n}&{o}&{p}

\end{pmatrix}$

The Transpose of a matrix rotates

the matrix about the DESCENDING diagonal.

The Transpose:

$\displaystyle \begin{pmatrix}

{a}&{e}&{i}&{m}\\

{b}&{f}&{j}&{n}\\

{c}&{g}&{k}&{o}\\

{d}&{h}&{l}&{p}

\end{pmatrix}$

Is there a name for the operation when

the matrix is rotated about the ascending diagonal?

The elements of the matrix are rotated clockwise 180 degrees,

then the reordered matrix is transposed.

$\displaystyle \begin{pmatrix}

{p}&{l}&{h}&{d}\\

{o}&{k}&{g}&{c}\\

{n}&{j}&{f}&{b}\\

{m}&{i}&{e}&{a}

\end{pmatrix}$

Is there a name for this operation?

Is there a site that explains (with graphics or images)

the different operations on matrices?