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Homework Help: Prove the following:

  1. Apr 14, 2005 #1
    Q. { x^2 + x + 2 , x^2 -3x + 1, 5x^2 -7x + 7 }

    Prove wether or not the above function's are linearly dependent.

    Any help shall be very helpful!!!!
     
  2. jcsd
  3. Apr 14, 2005 #2

    Hurkyl

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  4. Apr 16, 2005 #3
    My thought is to compute the wronskian:

    and see if it is equal = 0 it is dependent, if not independent.
     
  5. Apr 16, 2005 #4
    That would be an excellent way to do it, you would do well to recall the 3x3 determinant.
     
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