Skip to main content\(\newcommand{\spn}{\operatorname{span}}
\newcommand{\bbm}{\begin{bmatrix}}
\newcommand{\ebm}{\end{bmatrix}}
\newcommand{\R}{\mathbb{R}}
\ifdefined\C
\renewcommand\C{\mathbb{C}}
\else
\newcommand\C{\mathbb{C}}
\fi
\newcommand{\im}{\operatorname{im}}
\newcommand{\nll}{\operatorname{null}}
\newcommand{\csp}{\operatorname{col}}
\newcommand{\rank}{\operatorname{rank}}
\newcommand{\diag}{\operatorname{diag}}
\newcommand{\tr}{\operatorname{tr}}
\newcommand{\dotp}{\!\boldsymbol{\cdot}\!}
\newcommand{\len}[1]{\lVert #1\rVert}
\newcommand{\abs}[1]{\lvert #1\rvert}
\newcommand{\proj}[2]{\operatorname{proj}_{#1}{#2}}
\newcommand{\bz}{\overline{z}}
\newcommand{\zz}{\mathbf{z}}
\newcommand{\uu}{\mathbf{u}}
\newcommand{\vv}{\mathbf{v}}
\newcommand{\ww}{\mathbf{w}}
\newcommand{\xx}{\mathbf{x}}
\newcommand{\yy}{\mathbf{y}}
\newcommand{\zer}{\mathbf{0}}
\newcommand{\vecq}{\mathbf{q}}
\newcommand{\vecp}{\mathbf{p}}
\newcommand{\vece}{\mathbf{e}}
\newcommand{\basis}[2]{\{\mathbf{#1}_1,\mathbf{#1}_2,\ldots,\mathbf{#1}_{#2}\}}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)
Linear AlgebraA second course, featuring proofs and Python
Sean Fitzpatrick
University of Lethbridge
September 2, 2025
