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Unformatted text preview: 22 4 46 7 2 2 h The vectors are linearly dependent if there is a nontrivial linear combination of them which gives the zero vector. So we want to solve. 2 42 026 2 4 7 h II + I III2 I 2 4221 h + 4 0 III(1 / 2) II 2 422 h + 4 0 So the vectors are linearly dependent when h =4. We can check and see that when h =4 we have that v 1 =v 3 so there is a dependence relation in this case. if I saw this dependence relation originally, I would know that h =4 makes the vectors linearly dependent, but I would still want to go through the calculations above to show that no other h gives a dependent set of vectors....
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This document was uploaded on 04/02/2012.
 Fall '09
 Math

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