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{\bf Quiz 1}
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Name:
\begin{enumerate}
\item
Let $V$ be a vector space. Define what is means for a subset $W$ of $V$
to be a subspace of $V$.
\vfill
\item
Let $V$ be a vector space with subspaces $U, W$. Prove that $U\cap W$
is also a subspace of $V$.
\vfill
\end{enumerate}
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