Question
Evaluate the following $: \left|\begin{array}{ll} 1 & 1 \\ 2 & 3 \end{array}\right|\left|\begin{array}{ll} 2 & 1 \\ 1 & 4 \end{array}\right| $
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Answer
$\begin{array}{l}\left|\begin{array}{ll}1 & 1 \\ 2 & 3\end{array}\right|_{2 \times 2}\left|\begin{array}{cc}2 & 1 \\ 1 & 4\end{array}\right|_{2 \times 2} \end{array} $
$=\left|\begin{array}{cc}2+1 & 1+4 \\ 4+3 & 2+12\end{array}\right| $
$=\left|\begin{array}{cc}3 & 5 \\ 7 & 14\end{array}\right|_{2 \times 2}$
$=\left|\begin{array}{cc}2+1 & 1+4 \\ 4+3 & 2+12\end{array}\right| $
$=\left|\begin{array}{cc}3 & 5 \\ 7 & 14\end{array}\right|_{2 \times 2}$
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