期末复习。

线性代数.tex

@@ -42,12 +42,15 @@
 \newcommand{\realnum}{\mathbb{R}}
 \newcommand{\integer}{\mathbb{Z}}
 \newcommand{\naturalnum}{\mathbb{N}}
+\newcommand{\complexnum}{\mathbb{C}}
 \newcommand{\columnspace}[1]{\mathcal{R}(#1)}
 \newcommand{\nullspace}[1]{\mathcal{N}\left({#1}\right)}
 \newcommand{\orthocomplementation}{^{\perp}}
 \newcommand{\makedot}{\tikz\draw[black,fill=black] (0,0) circle (2pt);}
 % \newcommand{\norm}[1]{\left\Vert#1\right\Vert}
 \newcommand{\listout}[2]{{#1}_1, {#1}_2, \dots, {#1}_{#2}}
+\newcommand{\fnum}{\mathbb{F}}
+\newcommand{\spacev}{\mathcal{V}}
 
 % \DeclareMathOperator{\comm}{Comm}
 \DeclareMathOperator{\diag}{diag}
@@ -85,4 +88,7 @@
     \include{02子空间和维数.tex}
     \include{03内积和正交性.tex}
     \include{04行列式.tex}
+    \include{05特征值和特征向量.tex}
+    \include{06实对称矩阵.tex}
+    \include{07线性空间和线性映射.tex}
 \end{document}