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\begin{slide}{\hypertarget{TOC}{Table of Contents}}
{\footnotesize{
\begin{multicols}{2}
\begin{enumerate}
\item \hyperlink{01}{Algebraic Structures}
\item \hyperlink{02}{Field Properties}
\item \hyperlink{03}{\S $3.1 \rightarrow 3.3$ of our text}
\item \hyperlink{04}{Vector Space Properties}
\item \hyperlink{05}{Homomorphisms}
\item 
\begin{enumerate}
 \item \hyperlink{06}{Subspace}
 \item \hyperlink{06a}{Subspace Graphs}
\end{enumerate}
\item \hyperlink{07}{Operations on Subspaces}
\item \hyperlink{08}{Linear In/Dependence}
\item \hyperlink{09}
	{\parbox[t]{0.9\linewidth}{Linear~Independence,\\ Spanning, and Basis}}
\item \hyperlink{10}{Basis and Dimension, I}
\item \hyperlink{11}{Basis and Dimension, II}
\item \hyperlink{12}
	{\parbox[t]{0.9\linewidth}{Basis and Direct Sum; Intro to Linear Transformations}}
\item {\hyperlink{13}{$\mathfrak{R}(T)$ and $\mathfrak{N}(T)$}}
\item
\begin{enumerate}
  \item \hyperlink{14}{Dimension Theorem}
  \item \hyperlink{14a}
	{\parbox[t]{0.8\linewidth}{Linear~Transforma- tion Project}}
\end{enumerate}
\setcounter{e_temp}{\value{enumi}}
\end{enumerate}
\end{multicols}
}}
\end{slide}

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\begin{slide}{Table of Contents}
{\footnotesize{
\begin{multicols}{2}
\begin{enumerate} \setcounter{enumi}{\value{e_temp}}
\item
\begin{enumerate}
  \item \hyperlink{15}{Rank, Nullity; Inverses}
  \item \hyperlink{15a}
	{\parbox[t]{0.95\linewidth}{Linear~Transformation Project ``Solution''}}
\end{enumerate}
\item \hyperlink{16}
	{\parbox[t]{0.9\linewidth}{Inverses;~Transformation Algebras}}
\item \hyperlink{17}{Transformation Algebras, II}
\item \hyperlink{18}{Linear Functionals}
\item \hyperlink{19}{Linear Functionals, II}
\item \hyperlink{20}{Algebraic Transpose}
\item \hyperlink{21}{Bilinear Functionals}
\item \hyperlink{22}
	{\parbox[t]{0.9\linewidth}{Quadratic~Forms~\&\\ Inner~Products}}
	\columnbreak	
	
\item \hyperlink{23}{Inner Product Examples}
\item \hyperlink{24}{Projections}
\item \hyperlink{25}{Eigenvalues}
\item \hyperlink{26}{Vector Spaces \& Matrices}
\item \hyperlink{27}{Rank of a Matrix}
\item \hyperlink{28}{Rank \!\&\! Algebra of Matrices}
\item \hyperlink{29}{Equivalence \& Similarity}
\item \hyperlink{30}
	{\parbox[t]{0.9\linewidth}{Equivalence of Transformations}}
\item \hyperlink{31}
	{\parbox[t]{0.95\linewidth}{Determinants: ``Work Day''}}
\setcounter{e_temp}{\value{enumi}}
\end{enumerate}
\end{multicols}
}}
\end{slide}

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\begin{slide}{Table of Contents}
{\footnotesize{
\begin{multicols}{2}
\begin{enumerate} \setcounter{enumi}{\value{e_temp}}
\item \hyperlink{32}{Determinants \& Invariants}
\item \hyperlink{33}
	{\parbox[t]{0.95\linewidth}{Eigenvectors \& Diagonalization}}
\item \hyperlink{34}{``Eigen-basis'' Examples}
\end{enumerate}
\end{multicols}
}}
\end{slide}
