$\DeclareMathOperator{\RREF}{RREF} \DeclareMathOperator{\adj}{adj} \DeclareMathOperator{\proj}{proj} \DeclareMathOperator{\matrixring}{M} \DeclareMathOperator{\poly}{P} \DeclareMathOperator{\Span}{Span} \DeclareMathOperator{\rank}{rank} \DeclareMathOperator{\nullity}{nullity} \newcommand{\basisfont}[1]{\mathscr{#1}} \newcommand{\bbrac}[1]{\bigl(#1\bigr)} \newcommand{\Bbrac}[1]{\Bigl(#1\Bigr)} \newcommand{\irst}[1][1]{{#1}^{\mathrm{st}}} \newcommand{\ond}[1][2]{{#1}^{\mathrm{nd}}} \newcommand{\ird}[1][3]{{#1}^{\mathrm{rd}}} \newcommand{\nth}[1][n]{{#1}^{\mathrm{th}}} \newcommand{\leftrightlinesubstitute}{\scriptstyle \overline{\phantom{xxx}}} \newcommand{\inv}[2][1]{{#2}^{-{#1}}} \newcommand{\abs}[1]{\left\lvert #1 \right\rvert} \newcommand{\degree}[1]{{#1}^\circ} \newcommand{\R}{\mathbb{R}} \newcommand{\C}{\mathbb{C}} \newcommand{\ci}{\mathrm{i}} \newcommand{\cconj}[1]{\bar{#1}} \newcommand{\lcconj}[1]{\overline{#1}} \newcommand{\abctriangle}[1]{\triangle #1} \newcommand{\utrans}[1]{{#1}^{\mathrm{T}}} \newcommand{\rowredarrow}{\xrightarrow[\text{reduce}]{\text{row}}} \newcommand{\bidentmatfour}{\begin{bmatrix} 1 \amp 0 \amp 0 \amp 0 \\ 0 \amp 1 \amp 0 \amp 0 \\ 0 \amp 0 \amp 1 \amp 0 \\ 0 \amp 0 \amp 0 \amp 1\end{bmatrix}} \newcommand{\uvec}[1]{\mathbf{#1}} \newcommand{\zerovec}{\uvec{0}} \newcommand{\bvec}[2]{#1\,\uvec{#2}} \newcommand{\ivec}[1]{\bvec{#1}{i}} \newcommand{\jvec}[1]{\bvec{#1}{j}} \newcommand{\kvec}[1]{\bvec{#1}{k}} \newcommand{\injkvec}[3]{\ivec{#1} - \jvec{#2} + \kvec{#3}} \newcommand{\abray}[1]{\overrightarrow{#1}} \newcommand{\norm}[1]{\left\lVert #1 \right\rVert} \newcommand{\unorm}[1]{\norm{\uvec{#1}}} \newcommand{\bigcdot}{\mathbin{\large\boldsymbol{\cdot}}} \newcommand{\dotprod}[2]{#1\bigcdot#2} \newcommand{\udotprod}[2]{\dotprod{\uvec{#1}}{\uvec{#2}}} \newcommand{\crossprod}[2]{#1\times#2} \newcommand{\ucrossprod}[2]{\crossprod{\uvec{#1}}{\uvec{#2}}} \newcommand{\uproj}[2]{\proj_{\uvec{#2}} \uvec{#1}} \newcommand{\matrixOf}[2]{\left[#1\right]_{\basisfont{#2}}} \newcommand{\rmatrixOf}[2]{\left(#1\right)_{\basisfont{#2}}} \newcommand{\rmatrixOfplain}[2]{\left(#1\right)_{#2}} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&}$

# Discover Linear AlgebraActivity Sets

August 24, 2018

## ColophonColophon

Edition Fall 2018

Website Discover Linear Algebra

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the appendix entitled “GNU Free Documentation License.” All trademarks™ are the registered® marks of their respective owners.

## Author BiographyAuthor Biography

Jeremy Sylvestre is Associate Professor of Mathematics at the University of Alberta's Augustana Campus.