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Homework Help: Vector Sets being Linearly Dependent

  1. Jan 28, 2010 #1
    I have a quick regarding a definition for linear dependence that my professor gave in class...

    A set of vectors {v[tex]_{1}[/tex],v[tex]_{2}[/tex],...v[tex]_{k}[/tex]}, are considered linearly dependent provided there are scalars c[tex]_{1}[/tex],c[tex]_{2}[/tex],...c[tex]_{k}[/tex] that are not all zero, such that c[tex]_{1}[/tex]v[tex]_{1}[/tex] + c[tex]_{2}[/tex]v[tex]_{2}[/tex] + .... c[tex]_{k}[/tex]v[tex]_{k}[/tex] = 0

    does this mean that none of the scalars can be zero, or that some can be zero but not all?

    regard the superscripts as subscripts, my tags aren't working for some reason...thanks for any help you can offer me :smile:
  2. jcsd
  3. Jan 28, 2010 #2


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    Just as they said, some can be zero, but not all.
  4. Jan 28, 2010 #3
    thanks :biggrin:
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