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Dependent Set (Linear Algebra)

  1. Oct 4, 2011 #1
    What value of c will make the set S={<3,5,-2>,<3,c,-25>,<1,-4,7>} dependent?


    I've been trying to solve this by setting up a matrix for the last 30 minutes and Im not getting anywhere.

    My question is simple: Am I even supposed to be solving this with a matrix?
     
  2. jcsd
  3. Oct 4, 2011 #2
    The matrix method will definitely work. Set up your matrix and reduce it to echelon form, carrying the c throughout. Once you have completed it the reduction, you will have likely have an equation for c which can be solved to give you a row of zeros.
     
  4. Oct 4, 2011 #3
    Thank you. This stuff is driving me nuts. It's taking FOREVER!
     
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