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注意{amsmath}包的引入
\usepackage{amsmath}
$$
\begin{cases}
l_{11}y_{1} = 1 \\
l_{21}y_{1} + l_{22}y_{2} = 0 \\
l_{31}y_{1} + l_{32}y_{2} + l_{33}y_{3} = 0 \\
l_{41}y_{1} + l_ {42}y_{2} + l_{43}y_{3} + l_{44}y_{4} = 0
\end{cases}
$$
or:
\usepackage{amsmath}
\begin{equation*}
\begin{cases}
l_{11}y_{1} = 1 \\
l_{21}y_{1} + l_{22}y_{2} = 0 \\
l_{31}y_{1} + l_{32}y_{2} + l_{33}y_{3} = 0 \\
l_{41}y_{1} + l_ {42}y_{2} + l_{43}y_{3} + l_{44}y_{4} = 0
\end{cases}
\end{equation*}
{
l
11
y
1
=
1
l
21
y
1
+
l
22
y
2
=
0
l
31
y
1
+
l
32
y
2
+
l
33
y
3
=
0
l
41
y
1
+
l
42
y
2
+
l
43
y
3
+
l
44
y
4
=
0
\usepackage{amsmath}
\begin{equation}
\begin{cases}
l_{11}y_{1} = 1 \\
l_{21}y_{1} + l_{22}y_{2} = 0 \\
l_{31}y_{1} + l_{32}y_{2} + l_{33}y_{3} = 0 \\
l_{41}y_{1} + l_ {42}y_{2} + l_{43}y_{3} + l_{44}y_{4} = 0
\end{cases}
\end{equation}
\usepackage{cases}
\begin{numcases}{}
l_{11}y_{1} = 1 \\
l_{21}y_{1} + l_{22}y_{2} = 0 \\
l_{31}y_{1} + l_{32}y_{2} + l_{33}y_{3} = 0 \\
l_{41}y_{1} + l_ {42}y_{2} + l_{43}y_{3} + l_{44}y_{4} = 0
\end{numcases}
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