Answer
$\left[\begin{array}{ll}
10 & 5\\
-2 & -30
\end{array}\right]$
Work Step by Step
The product of an $m\times n$ matrix and an $n\times p$ matrix is an $m\times p$ matrix.
The element in the ith row and $j$th column of $DB$ is found by
multiplying each element in the $i$th row of $D$ by the corresponding element in the $j$th column of $B$
and adding the products.
$D$ is a $2\times\underline{3}$ matrix, $D$ is $\underline{3}\times 2.$
$DB$ exists and is a $2\times 2$ matrix.
$DB=\left[\begin{array}{ll}
-2(0)+3(3)+1(1) & -2(-2)+3(2)+1(5)\\
3(0)-2(3)+4(1) & 3(-2)-2(2)+4(5)
\end{array}\right]$
$=\left[\begin{array}{ll}
10 & 5\\
-2 & -30
\end{array}\right]$
