Answer
$\begin{bmatrix}
3&-1&0\\
-5&6&4
\end{bmatrix}$
Work Step by Step
Let $M$ be the matrix for $T$ relative to $B$ and $D$.
$M=[T(\vec{b_1})_D\ \ \ \ T(\vec{b_3})_D\ \ \ T(\vec{b_3})_D ]=\begin{bmatrix}
3&-1&0\\
-5&6&4
\end{bmatrix}$