Question
If $A =\left|\begin{array}{l}1215 \\ 1117\end{array}\right|$ and $B =\left|\begin{array}{ll}2 & 7 \\ 4 & 9\end{array}\right|$ find $A -2 B$

Answer

$\begin{array}{l}A=\left|\begin{array}{ll}12 & 15 \\ 11 & 17\end{array}\right|_{2 \times 2}, B=\left|\begin{array}{ll}2 & 7 \\ 4 & 9\end{array}\right|_{2 \times 2} \end{array} $
$ 2 B=\left|\begin{array}{lll}4 & 1 & 4 \\ 8 & 1 & 8\end{array}\right|  $
$ A-2 B=\left|\begin{array}{cc}12-4 & 15-14 \\ 11-8 & 17-18\end{array}\right|  $
$ =\left|\begin{array}{cc}8 & 1 \\ 3 & -1\end{array}\right|_{2 \times 2}$

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