改进排版

This commit is contained in:
2025-02-23 20:51:53 +08:00
parent 2bf0000c22
commit 791c17ebdf
21 changed files with 1946 additions and 1827 deletions
+16 -7
View File
@@ -7,19 +7,23 @@ $\boldsymbol A_{ij}$表示第$i$行第$j$列的元素,
$\boldsymbol A_{i,*}$表示第$i$行所有元素,
$\boldsymbol A_{*,j}$表示第$j$列所有元素,
$$
\boldsymbol A=\begin{bmatrix}
\begin{aligned}
\boldsymbol A&=\begin{bmatrix}
A_{11}&A_{12}&A_{13}\\
A_{21}&A_{22}&A_{23}\\
A_{31}&A_{32}&A_{33}
\end{bmatrix}=\begin{bmatrix}
\end{bmatrix}\\
&=\begin{bmatrix}
\leftarrow & A_{1,*} & \rightarrow \\
\leftarrow & A_{2,*} & \rightarrow \\
\leftarrow & A_{3,*} & \rightarrow
\end{bmatrix}=\begin{bmatrix}
\end{bmatrix}\\
&=\begin{bmatrix}
\uparrow & \uparrow & \uparrow \\
A_{*,1} & A_{*,2} & A_{*,3} \\
\downarrow & \downarrow & \downarrow
\end{bmatrix}
\end{aligned}
$$
### 3.2 加法
如果矩阵$\boldsymbol A$是一个$m\times n$的矩阵,矩阵$\boldsymbol B$是一个$m\times n$的矩阵,那么$\boldsymbol A +\boldsymbol B$是一个$m\times n$的矩阵$\boldsymbol C$,并且
@@ -72,11 +76,13 @@ $$
#### 3.4.2 举例
$$
\boldsymbol A=\begin{bmatrix}
\begin{aligned}
\boldsymbol A&=\begin{bmatrix}
2&-1&8\\3&6&-4\end{bmatrix}\\
\boldsymbol A^T=\begin{bmatrix}
\boldsymbol A^T&=\begin{bmatrix}
2&3\\-1&6\\8&-4
\end{bmatrix}
\end{aligned}
$$
### 3.4.3 正交矩阵
@@ -140,10 +146,13 @@ $$
#### 3.8.2 举例
$$
\det{\begin{bmatrix}
\begin{aligned}
&\det{\begin{bmatrix}
A_{11}&A_{12}\\
A_{21}&A_{22}
\end{bmatrix}}=A_{11}\det[A_{22}]-A_{12}\det[A_{21}]=A_{11}A_{22}-A_{12}A_{21}
\end{bmatrix}}\\
&=A_{11}\det[A_{22}]-A_{12}\det[A_{21}]=A_{11}A_{22}-A_{12}A_{21}
\end{aligned}
$$
$$\begin{split}