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Unformatted text preview: R 3 which satisfy u x = 3, where u = 1 1 1 . 4. Show that if V,W R n are linear subspaces then V W is as well a linear subspace of R n . 1 5. Let v 1 = 1 11 and v 2 = 11 2 and V = span { v 1 , v 2 } , which of the following vectors are in V ? 1 1 , 2 5 , 23 9 3144 6. Are the following sets of vectors linearly dependent or independent? (a) 2 1 , 147 (b) 11 , 1 2 (c) 11 1 , 1 1 1 , 2 2 7. Show that if the k vectors v 1 , v 2 v k R n are all nonzero and mutually orthogonal, i.e., v i v k = 0 if i 6 = k , then they are linearly independent. 2...
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 Spring '10
 Spyros
 Linear Algebra, Algebra, Geometry, Dot Product

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