\documentclass[12pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{graphicx}

\title{Simple \LaTeX{} Example}
\author{John Doe}
\date{\today}

\begin{document}

\maketitle

\section{Introduction}
This is a simple example of a \LaTeX{} document. It demonstrates some basic features.

\section{Mathematics}
Here's an example of a mathematical equation:
\begin{equation}
    E = mc^2
\end{equation}

And here's a simple matrix:
\[
\begin{pmatrix}
a & b \\
c & d
\end{pmatrix}
\]

\section{Lists}
Here's a simple list:
\begin{itemize}
    \item First item
    \item Second item
    \item Third item
\end{itemize}

\end{document}