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Proof about linear independence

  1. Dec 19, 2009 #1
    suppose v1,....,vk are nonzero vectors with the property that vi.vj=0 whenever i is not equal to j. Prove that {v1,....,vk} is linearly independent.
     
  2. jcsd
  3. Dec 19, 2009 #2
    Suppose [tex]\alpha_1, \ldots, \alpha_k[/tex] are such that [tex]0 = \alpha_1 v_1 + \ldots + \alpha_k v_k[/tex]. Try taking the dot product of this equation with each of the [tex]v_i[/tex]s and see what it tells you about the [tex]\alpha_i[/tex]s.
     
  4. Dec 19, 2009 #3
    thank u, i got it now...
     
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