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Linear Independence

  1. Feb 25, 2008 #1
    the vectors: v= [-5, -8, 7], u= [2, 4, (-17+k)] and w= [2, 7, 1]
    are linearly independent if and only if k does not equal ___?

    - note that the vectors are supposed to be setup vertically with only one column and 3 rows.




    det[v, u, w]



    3. The attempt at a solution

    - I tried setting up the determinant = 0 and then solving for k, but that doesn't seem to give me the right answer. I'm really not sure where to go with this type of problem. Please help.
     
  2. jcsd
  3. Feb 25, 2008 #2

    Dick

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    Your method is correct. You should get a simple linear equation to solve for k. What did you get?
     
  4. Feb 25, 2008 #3
    Nevermind. I had my sign wrong. It was 15. Thanks for the help.
     
    Last edited: Feb 25, 2008
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