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{\bf Quiz 2}
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Name:
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\item
What is a linear transformation? Is it a function?
\vfill
\item
Prove that if $V$ is generated by a finite set $G$, then there is a
subset of $G$ that is a basis for $V$. (Hint: If you claim a finite
partially ordered set has a minimal or maximal element, you need to
state why this partially ordered set is nonempty.)
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