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March 11th, 2009, 09:44 PM   #1
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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.
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March 16th, 2009, 08:42 AM   #2
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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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