Maximum determinant of $3 \times 3$ matrix Good one guys! 
I'm studying to the maths olympiads in my college and I ran to the following problem:
What is the possible matrix $3 \times 3$, that you can write using digits from $0 $ to $9$, (you can repeat them), that gives you the maximum determinant?
I got by brute force the matrix:
\begin{pmatrix}
0 && 9 && 9\\
9 && 0 && 9 \\
9 && 9 && 0\\
\end{pmatrix}
Are there any other ways to do it besides brute force?
I looked about Hadamard maximum determinant theorem but I did not get how to apply it.
Thanks in advance =)

For a $3\times 3$ matrix you can also easily see it by using The rule of Sarrus.
