Sia

Here’s a similar math question following the provided format:

Let $N = \left[ \begin{array}{ccc} 2 & -1 & 3 \\ 0 & 1 & -2 \\ -1 & 2 & 0 \end{array} \right]$. Find $d_{1}, d_{2}$, and $d_{3}$ such that $N^{3} + d_{1} N^{2} + d_{2} N + d_{3} I_{3} = 0$, where $I_{3}$ is the identity $3 \times 3$ matrix. 

$$\begin{array}{l}
d_{1}= \square . \\
d_{2}= \square . \\
d_{3}= \square .
\end{array}$$