Question
Evaluate the following $: \left|\begin{array}{cc} 2 & -5 \\ 0 & -3 \end{array}\right|\left|\begin{array}{cc} 1 & -1 \\ 3 & 2 \end{array}\right| $
✓
Answer
$\begin{array}{l}\left|\begin{array}{cc}2 & -5 \\ 0 & -3\end{array}\right|_{2 \times 2}\left|\begin{array}{cc}1 & -1 \\ 3 & 2\end{array}\right|_{2 \times 2} \end{array} $
$ =\left|\begin{array}{cc}2-15 & -2-10 \\ 0-9 & 0-6\end{array}\right|_2 $
$ =\left|\begin{array}{cc}-13 & -12 \\ -9 & -6\end{array}\right|_{2 \times 2}$
$ =\left|\begin{array}{cc}2-15 & -2-10 \\ 0-9 & 0-6\end{array}\right|_2 $
$ =\left|\begin{array}{cc}-13 & -12 \\ -9 & -6\end{array}\right|_{2 \times 2}$
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