
\subsection{\bf Finite and Infinite Dimensional}
\subsection{\bf Matrices as Operators}

\begin{slide}

\begin{itemize}
\item We have discussed matrices. These are ``operators'' in finite
$(n)$ dimensional linear space.
\vspace{12pt}

\item You can generalize to infinite dimensional space.

\begin{description}
\item[---] e.g., space of ``suitable'' functions $f(x)$
\end{description}
\vspace{12pt}

\item $\frac{d}{dx}$ is an operator!
\vspace{12pt}

\item $\frac{d}{dx} f(x) = g(x)$ is another function.

\begin{description}
\item[---] e.g., another operator
\end{description}
\end{itemize}

\end{slide}

