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$V \ \mbox{is a vector space, since} \ c{\bf u}\ \mbox{is from} \ V \ \mbox{for any} \ {\bf u}\ \mbox{from} \ V \ \mbox{and any} \ c \ \mbox{from} \ \mathbb{R}$

$V \ \mbox{is not a vector space, since} \ {\bf 0} \ \mbox{is not in} \ V$

$\hspace{-6mm} V \ \mbox{is not a vector space, since there exist} \ {\bf u} \ \mbox{and} \ {\bf v} \ \mbox{from} \ V\\ \mbox{such that} \ {\bf u}+{\bf v}\ \mbox{is not from} \ V$

$V \ \mbox{is a vector space, since} \ {\bf u}+{\bf v}\ \mbox{is from} \ V \ \mbox{for any} \ {\bf u}\ \mbox{and} \ {\bf v} \ \mbox{from} \ V$

$\mbox{None of the above}$

$V \ \mbox{is a vector space, since} \ {\bf 0} \ \mbox{is in} \ V$

Test:	DELA-Section 3.2-Vector spaces
Number of Questions:	20
Time:

	$H_1 \ \mbox{is a vector space and} \ H_2 \ \mbox{is a vector space.}$
	$H_1 \ \mbox{is not a vector space, but} \ H_2 \ \mbox{is a vector space.}$
	$H_1 \ \mbox{is not a vector space and} \ H_2 \ \mbox{is not a vector space.}$
	$H_1 \ \mbox{is a vector space, but} \ H_2 \ \mbox{is not a vector space.}$

	$H_1 \ \mbox{is not a vector space and} \ H_2 \ \mbox{is not a vector space.}$
	$H_1 \ \mbox{is not a vector space, but} \ H_2 \ \mbox{is a vector space.}$
	$H_1 \ \mbox{is a vector space, but} \ H_2 \ \mbox{is not a vector space.}$
	$H_1 \ \mbox{is a vector space and} \ H_2 \ \mbox{is a vector space.}$

	$H_1 \ \mbox{is not a vector space, but} \ H_2 \ \mbox{is a vector space.}$
	$H_1 \ \mbox{is a vector space, but} \ H_2 \ \mbox{is not a vector space.}$
	$H_1 \ \mbox{is a vector space and} \ H_2 \ \mbox{is a vector space.}$
	$H_1 \ \mbox{is not a vector space and} \ H_2 \ \mbox{is not a vector space.}$

	$H_1 \ \mbox{is not a vector space and} \ H_2 \ \mbox{is not a vector space.}$
	$H_1 \ \mbox{is not a vector space, but} \ H_2 \ \mbox{is a vector space.}$
	$H_1 \ \mbox{is a vector space and} \ H_2 \ \mbox{is a vector space.}$
	$H_1 \ \mbox{is a vector space, but} \ H_2 \ \mbox{is not a vector space.}$

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	$\hspace{-6mm} W \ \mbox{is not a vector space, since it is not a subspace of the vector}\\ \mbox{space of} \ 2\times 2 \ \mbox{matrices.}$
	$W \ \mbox{is not a vector space, since it is not closed under addition.}$
	$\mbox{None of the above}$
	$W \ \mbox{is not a vector space, since} \ {\bf 0} \ \mbox{is not in} \ W.$
	$W \ \mbox{is not a vector space, since it is not closed under multiplication by a scalar.}$

	$\mbox{All of the above}$
	$\hspace{-6mm} W \ \mbox{is not a vector space, since it is not closed}\\ \mbox{under multiplication by a scalar.}$
	$W \ \mbox{is not a vector space, since it is not closed under addition.}$
	$\mbox{None of the above}$
	$W \ \mbox{is not a vector space, since} \ {\bf 0} \ \mbox{is not in} \ W.$

	$W_2 \ \mbox{is a vector space, because} \ {\bf 0} \ \mbox{is in} \ W_2$
	$W_1 \ \mbox{is not a vector space, because} \ {\bf 0} \ \mbox{is not in} \ W_1$
	$W_2 \ \mbox{is a vector space, because it is closed under addition.}$
	$\mbox{None of the above}$
	$W_1 \ \mbox{is not a vector space, because it is not closed under addition.}$

	$W_1 \ \mbox{is a vector space, but} \ W_2 \ \mbox{is not a vector space.}$
	$W_1 \ \mbox{is a vector space and} \ W_2 \ \mbox{is a vector space.}$
	$W_1 \ \mbox{is not a vector space and} \ W_2 \ \mbox{is not a vector space.}$
	$W_1 \ \mbox{is not a vector space, but} \ W_2 \ \mbox{is a vector space.}$

	$\mbox{Yes}$
	$\mbox{No }$