Let $A=[a_{ij}]$ be a square matrix of order $3\times3$, where
\[
a_{ij}=
\begin{cases}
i-2j, & i=j \\
0, & i>j \\
1, & i<j
\end{cases}
\]
Then the value of $|A^T|$ is:
Show Hint
Whenever you see a triangular matrix, never expand the determinant manually. Just multiply the diagonal elements directly.