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# Questions about vector subspaces Watch

1. I understand what subspaces are and how to verify whether sets like V = {(x, 3 x): x ∈ R} are subspaces of R^n, but I really don't get what these questions are asking. Can someone explain them to me in simple terms? Thanks

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2. (Original post by Brian Moser)
I understand what subspaces are and how to verify whether sets like V = {(x, 3 x): x ∈ R} are subspaces of R^n, but I really don't get what these questions are asking. Can someone explain them to me in simple terms? Thanks

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The first is saying:

"Take two functions in the given space (real valued functions over ), both of which map 1 to 0. Does the linear combination with also map 1 to 0?"
3. (Original post by atsruser)
The first is saying:

"Take two functions in the given space (real valued functions over ), both of which map 1 to 0. Does the linear combination with also map 1 to 0?"
Great, thanks for the help. What about for parts c and d? Also, am I correct in thinking that the a is a subspace and b is not a subspace?

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Updated: February 2, 2015
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