第四章。

线性代数.tex

@@ -11,11 +11,13 @@
 \usepackage{tikz}
 \usepackage{nicematrix}
 \usepackage{emptypage}
+\usepackage{physics}
 
 \geometry{a4paper,scale=0.8}
 
 \defaultCJKfontfeatures{Mapping = fullwidth-stop}
-\ctexset{fontset=macnew}
+\setCJKmainfont{simsun.ttc}[AutoFakeBold, ItalicFont=simkai.ttf]
+% \ctexset{fontset=macnew}
 % \ctexset{fontset=windows} % On Windows
 
 \newtheorem{theorem}{定理}[section]
@@ -44,14 +46,17 @@
 \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}}
 
-\DeclareMathOperator{\comm}{Comm}
+% \DeclareMathOperator{\comm}{Comm}
 \DeclareMathOperator{\diag}{diag}
-\DeclareMathOperator{\trace}{trace}
+% \DeclareMathOperator{\trace}{trace}
 \DeclareMathOperator{\matspan}{span}
-\DeclareMathOperator{\rank}{rank}
+% \DeclareMathOperator{\rank}{rank}
 \DeclareMathOperator{\rref}{rref}
 \DeclareMathOperator{\id}{id}
+\DeclareMathOperator{\sign}{sign}
 
 \newenvironment{amatrix}[1]{%
   \left[\begin{array}{@{}*{#1}{c}|c@{}}
@@ -64,6 +69,7 @@
 \author{}
 \date{}
 % linespread{1.5}
+% \includeonly{03内积和正交性.tex}
 
 \begin{document}
     \maketitle
@@ -77,4 +83,6 @@
     \include{00预备知识.tex}
     \include{01线性映射和矩阵.tex}
     \include{02子空间和维数.tex}
+    \include{03内积和正交性.tex}
+    \include{04行列式.tex}
 \end{document}