改进排版
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@@ -7,19 +7,23 @@ $\boldsymbol A_{ij}$表示第$i$行第$j$列的元素,
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$\boldsymbol A_{i,*}$表示第$i$行所有元素,
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$\boldsymbol A_{*,j}$表示第$j$列所有元素,
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$$
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\boldsymbol A=\begin{bmatrix}
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\begin{aligned}
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\boldsymbol A&=\begin{bmatrix}
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A_{11}&A_{12}&A_{13}\\
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A_{21}&A_{22}&A_{23}\\
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A_{31}&A_{32}&A_{33}
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\end{bmatrix}=\begin{bmatrix}
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\end{bmatrix}\\
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&=\begin{bmatrix}
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\leftarrow & A_{1,*} & \rightarrow \\
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\leftarrow & A_{2,*} & \rightarrow \\
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\leftarrow & A_{3,*} & \rightarrow
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\end{bmatrix}=\begin{bmatrix}
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\end{bmatrix}\\
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&=\begin{bmatrix}
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\uparrow & \uparrow & \uparrow \\
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A_{*,1} & A_{*,2} & A_{*,3} \\
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\downarrow & \downarrow & \downarrow
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\end{bmatrix}
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\end{aligned}
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$$
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### 3.2 加法
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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
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@@ -72,11 +76,13 @@ $$
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#### 3.4.2 举例
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$$
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\boldsymbol A=\begin{bmatrix}
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\begin{aligned}
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\boldsymbol A&=\begin{bmatrix}
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2&-1&8\\3&6&-4\end{bmatrix}\\
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\boldsymbol A^T=\begin{bmatrix}
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\boldsymbol A^T&=\begin{bmatrix}
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2&3\\-1&6\\8&-4
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\end{bmatrix}
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\end{aligned}
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$$
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### 3.4.3 正交矩阵
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@@ -140,10 +146,13 @@ $$
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#### 3.8.2 举例
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$$
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\det{\begin{bmatrix}
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\begin{aligned}
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&\det{\begin{bmatrix}
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A_{11}&A_{12}\\
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A_{21}&A_{22}
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\end{bmatrix}}=A_{11}\det[A_{22}]-A_{12}\det[A_{21}]=A_{11}A_{22}-A_{12}A_{21}
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\end{bmatrix}}\\
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&=A_{11}\det[A_{22}]-A_{12}\det[A_{21}]=A_{11}A_{22}-A_{12}A_{21}
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\end{aligned}
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$$
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$$\begin{split}
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