Rearranged handout

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2023-04-03 11:13:33 -07:00
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\section{Spaces}
\definition{Vector Spaces}
A \textit{space} over a field $\mathbb{F}$ consists of the following elements:
\begin{itemize}[itemsep = 2mm]
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\item An operation called \textit{vector addition}, denoted $+$ \\
Vector addition operates on two elements of $V$. \\
\item An operation called \textit{scalar multilplication}, denoted $\times$ \\
\item An operation called \textit{scalar multiplication}, denoted $\times$ \\
Scalar multiplication multiplies an element of $V$ by an element of $\mathbb{F}$. \\
Any element of $\mathbb{F}$ is called a \textit{scalar}.
\end{itemize}