main.tex

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% MIT 18.06 Linear Algebra Notes
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% Author: Ashirwad Barnwal
% Contact: ashirwad1992@gmail.com
% Encode: UTF-8, tabwidth = 4, newline = LF
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% possible options: color/nocolor, english/german, threecolumn
% defaults: color, english
\documentclass[english]{latex4ei/latex4ei_sheet}

% set document information
\title{MIT 18.06 Notes}
\author{Ashirwad Barnwal}                                       % optional, delete if unchanged
\myemail{ashirwad1992@gmail.com}                        % optional, delete if unchanged
\mywebsite{https://ashirwad.netlify.com/}                       % optional, delete if unchanged


% My packages
\usepackage{gauss}
\usepackage{makecell}
\renewcommand\cellalign{tl}
\usepackage{adjustbox}

\usepackage{mathtools}
\usepackage{systeme}
\usepackage{enumitem}
\usepackage{graphicx}
\usepackage{subfiles}

% From SO: https://tex.stackexchange.com/a/299241/180993
% \aug is a vertical strut that can be placed between columns of a matrix
\newcommand\aug{\fboxsep=-\fboxrule\!\!\!\fbox{\strut}\!\!\!}

% From SO: https://tex.stackexchange.com/a/146730/180993 
% patch gauss macros for doing their work in `align'
% and other amsmath environments; see
% http://tex.stackexchange.com/questions/146532/
\usepackage{etoolbox}
\makeatletter
\patchcmd\g@matrix
 {\vbox\bgroup}
 {\vbox\bgroup\normalbaselines}% restore the standard baselineskip
 {}{}
\makeatother

\newcommand{\BAR}{%
  \hspace{-\arraycolsep}%
  \strut\vrule % the `\vrule` is as high and deep as a strut
  \hspace{-\arraycolsep}%
}

% Taken from the SO answer: https://tex.stackexchange.com/a/100553/180993
\newcommand{\verteq}{\rotatebox{90}{$\,=$}}
\newcommand{\equalto}[2]{\underset{\scriptstyle\overset{\mkern4mu\verteq}{#2}}{#1}}

% Taken from the SO answer: https://tex.stackexchange.com/a/12914/180993
\newcommand*{\vertbar}{\rule[-1ex]{0.5pt}{2.5ex}}
\newcommand*{\horzbar}{\rule[.5ex]{2.5ex}{0.5pt}}

% Taken from the SO answer: https://tex.stackexchange.com/a/69665/180993
\expandafter\def\expandafter\normalsize\expandafter{%
    \normalsize
    \setlength\abovedisplayskip{3pt}
    \setlength\belowdisplayskip{3pt}
    \setlength\abovedisplayshortskip{3pt}
    \setlength\belowdisplayshortskip{3pt}
}


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% Begin
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\begin{document}

\subfile{lectures/lec01_the-geometry-of-linear-equations}
\subfile{lectures/lec02_elimination-with-matrices}
\subfile{lectures/lec03_multiplication-and-inverse-matrices}
\subfile{lectures/lec04_factorization-into-a-equals-lu}


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% End
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\end{document}