Answer
The matrix $ DB $ is, $ DB=\left[ \begin{matrix}
10 & 5 \\
-2 & -30 \\
\end{matrix} \right]$
Work Step by Step
Here we need to find $ DB $. Therefore consider, $\begin{align}
& DB=\left[ \begin{array}{*{35}{l}}
-2 & 3 & 1 \\
3 & -2 & 4 \\
\end{array} \right]\left[ \begin{array}{*{35}{l}}
0 & -2 \\
3 & 2 \\
1 & -5 \\
\end{array} \right] \\
& =\left[ \begin{matrix}
-2\left( 0 \right)+3\left( 3 \right)+1\left( 1 \right) & -2\left( -2 \right)+3\left( 2 \right)+1\left( -5 \right) \\
3\left( 0 \right)-2\left( 3 \right)+4\left( 1 \right) & 3\left( -2 \right)-2\left( 2 \right)+4\left( -5 \right) \\
\end{matrix} \right] \\
& =\left[ \begin{matrix}
9+1 & 4+6-5 \\
-6+4 & -6-4-20 \\
\end{matrix} \right] \\
& =\left[ \begin{matrix}
10 & 5 \\
-2 & -30 \\
\end{matrix} \right]
\end{align}$
Thus, $ DB=\left[ \begin{matrix}
10 & 5 \\
-2 & -30 \\
\end{matrix} \right]$
