1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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


    User Avatar
    Science Advisor
    Homework Helper

    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
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook