<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[bookmarks]{hyperref}
\usepackage[margin=1in]{geometry}
\usepackage{amsmath, amssymb}
\newcommand{\Vect}{\operatorname{Vect}}

\begin{document}

\setcounter{section}{2}
\section{}

\begin{align*}
	F &amp;= \Vect \bigg(  (1, 0, 0, \ldots), (0, 1, 0, \ldots), \ldots, (0, \ldots, 0, 1, 0, 0, 0, \ldots)  \bigg)  \\
\end{align*}

Si $(u_n)\in F^{\bot}$ alors $\begin{cases}
	u &amp;\bot (1, 0, \ldots) \\
	u &amp;\bot (0, 1, 0, \ldots) \\
	  &amp;\vdots
\end{cases}$, \ie $\begin{cases}
	u_0 &amp;= 0 \\
	u_1&amp;= 0 \\
	   &amp;\vdots \\
	u_n&amp;= 0 \\
	   &amp;\vdots\\
\end{cases}$

voir corrigé lol

\end{document}
</pre></body></html>