50 lines
800 B
TeX
Executable File
50 lines
800 B
TeX
Executable File
% 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} |