%20%E5%87%86%E5%88%99%E7%9A%84%E4%B9%B3%E8%83%B6%E4%BB%A3%E7%A0%81%EF%BC%9F.png)
答案1
为此你确实不需要任何特殊的东西。
\documentclass{article}
\usepackage{amsmath}
\begin{document}
\[ H_n=\det\begin{bmatrix}
a_1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & \cdots & 0\\
a_3 & a_2 & a_1 & 1 & 0 & 0 & 0 & 0 & \cdots & 0\\
a_5 & a_4 & a_3 & a_2 & a_1 & 1 & 0 & 0 & \cdots & 0\\
\vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \ddots & \vdots\\
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & \cdots & a_n
\end{bmatrix}\]
\end{document}