March 11th, 2009, 08:44 PM  #1 
Newbie Joined: Feb 2009 Posts: 18 Thanks: 0  Subset of S
S={v1=[4 v2=[7 v3=[3 v4=[6 v5=[1 } 2 1 3 6 3 1 2 0 1 4 4 6 2 2 2 7] 8] 4] 3] 6] How can I find two subsets of S, each with more than one element, that are linearly independent.Justify your answer. 
March 16th, 2009, 07:42 AM  #2 
Newbie Joined: Mar 2009 Posts: 21 Thanks: 0  Re: Subset of S
Let's start with . Clearly, is linearly independent. Now, is linearly independent? To check, we see if implies . As a matter of fact, it does (verify it). Therefore, is a linearly independent subset of . Similarly, you can show that is a linearly independent subset of . 

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