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Linear Independence and Spanning

  1. Feb 19, 2007 #1
    Say that {W1, W2, W3, W4} is linearly independent in R4.

    Now say I have this vector
    [ 2
    tan(h)
    7
    4sec(k)
    ]

    and I want to find values of h and k such that it is not in the span of (W1...W4).

    If I understand this correctly, it means it is impossible to find those values since they do not exist. If a set of 4 vectors in R4 are linearly independent, then they also span R4.

    Am I right or way off on this?
     
  2. jcsd
  3. Feb 19, 2007 #2

    Hurkyl

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    Staff Emeritus
    Science Advisor
    Gold Member

    That sounds right.
     
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