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March 16th, 2008, 02:09 PM   #1
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vector spaces

Let v1 = span{(1 0 2)} and v2 = span{(0 1 1)}.
Observe that they are both vector spaces. A new set of vectors, S, is constructed by taking any vectors from v1 and any vector from v2 and adding these 2 vectors together.

Explain why S will also be a vector space.


help please.
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March 20th, 2008, 10:50 AM   #2
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You have two ways to proceed; either you prove that the resulting set is a vector subspace of the real vector space R^3, or you show that it is a vector space in sine, that is by verifying that all the axioms of a vector space are indeed verified.
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