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 March 16th, 2008, 01:09 PM #1 Newbie   Joined: Mar 2008 Posts: 5 Thanks: 0 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.
 March 20th, 2008, 09:50 AM #2 Site Founder     Joined: Nov 2006 From: France Posts: 824 Thanks: 7 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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