\documentclass[12pt, UTF8, a4paper, fontset=none, openany]{ctexbook} \usepackage{geometry} \usepackage{amsmath} \usepackage{amsthm} \usepackage{amssymb} \usepackage{bm} \usepackage{graphicx} \usepackage[colorlinks, linkcolor=black, anchorcolor=green, citecolor=blue]{hyperref} \usepackage{mathrsfs} \usepackage[inline]{enumitem} \usepackage{tikz} \usepackage{nicematrix} \usepackage{emptypage} \usepackage{physics} \geometry{a4paper,scale=0.8} \defaultCJKfontfeatures{Mapping = fullwidth-stop} \setCJKmainfont{simsun.ttc}[AutoFakeBold, ItalicFont=simkai.ttf] % \ctexset{fontset=macnew} % \ctexset{fontset=windows} % On Windows \newtheorem{theorem}{定理}[section] \newtheorem{axiom}{公理}[section] \newtheorem{definition}{定义}[section] \newtheorem{lemma}{引理}[theorem] \newtheorem{corollary}{推论}[section] \newtheorem{example}{例}[section] \newtheorem{proposition}{命题}[section] \newtheorem*{remark}{注} % \renewcommand{\qedsymbol}{} %去掉证明结尾的方框 \newcommand{\eqco}{\text{,}} % Chinese comma in equation \newcommand{\eqper}{\text{。}} % Chinese period in equation \newcommand{\newnoun}[2]{ \textbf{#1}(\textit{#2}) } \newcommand{\bvec}[1]{\boldsymbol{#1}} \newcommand{\trans}{^\mathrm{T}} \newcommand{\rdots}{\begin{rotate}{90}$\ddots$\end{rotate}} \newcommand{\revmat}{^{-1}} \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} % \DeclareMathOperator{\trace}{trace} \DeclareMathOperator{\matspan}{span} % \DeclareMathOperator{\rank}{rank} \DeclareMathOperator{\rref}{rref} \DeclareMathOperator{\id}{id} \DeclareMathOperator{\sign}{sign} \newenvironment{amatrix}[1]{% \left[\begin{array}{@{}*{#1}{c}|c@{}} }{% \end{array}\right] } \title{{\Huge{\textbf{线性代数}}}} \author{} \date{} % linespread{1.5} % \includeonly{03内积和正交性.tex} \begin{document} \maketitle \cleardoublepage \pagenumbering{roman} \setcounter{page}{1} \tableofcontents \cleardoublepage \setcounter{page}{1} \pagenumbering{arabic} \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} \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}