% use [nosolutions] flag to hide solutions.
% use [solutions] flag to show solutions.
\documentclass[
	solutions,
	singlenumbering
]{../../resources/ormc_handout}

\usepackage{tikz}
\usetikzlibrary{
	matrix,
	decorations.pathreplacing,
	calc,
	positioning,
	fit
}

%\usepackage{lua-visual-debug}
\renewcommand{\arraystretch}{1.2}
\begin{document}

	\maketitle
		<Advanced 2>
		<Spring 2023>
		{Linear Maps}
		{
			Prepared by Mark on \today \\
		}

	\section{Fields and Vector Spaces}


	\input{parts/0 fields}
	\input{parts/1 spaces}
	\input{parts/2 linearity}
	\input{parts/3 matrices}




	\section{Bonus}

	\definition{}
	Show that $\mathbb{P}^n$, the set of polynomials of degree $n$, is a vector space.
	\vfill

	\problem{}
	Is the set of all linear maps a vector space?
	\vfill

\end{document}