Question
If $P =\left|\begin{array}{ll}8 & 5 \\ 7 & 2\end{array}\right|$ find $P - Pt$
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Answer
$\begin{array}{l}P=\left|\begin{array}{ll}8 & 5 \\ 7 & 2\end{array}\right|_{2 \times 2} \end{array} $
$ P-P^t=\left|\begin{array}{ll}8 & 5 \\ 7 & 2\end{array}\right|-\left|\begin{array}{ll}8 & 7 \\ 5 & 2\end{array}\right| $
$ =\left|\begin{array}{cc}0 & -2 \\ 2 & 0\end{array}\right|_{2 \times 2}$
$ P-P^t=\left|\begin{array}{ll}8 & 5 \\ 7 & 2\end{array}\right|-\left|\begin{array}{ll}8 & 7 \\ 5 & 2\end{array}\right| $
$ =\left|\begin{array}{cc}0 & -2 \\ 2 & 0\end{array}\right|_{2 \times 2}$
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