March 16th, 2008, 02:09 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, 10:50 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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