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Homework Help: Prove the following statement:

  1. Apr 14, 2005 #1
    Q. Prove whether or not the following are linearly independent.

    1. f1 (x) = sqrt (x) + 5

    2. f2(x) = sqrt (x) + 5x

    3. f3(x) = x-1

    How do we prove these?

    Can anyone help
     
  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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