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