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Linear Spaces

  1. Dec 14, 2009 #1
    Let V be a linear space and u, v, w [tex]\in[/tex] V. Show that if {u, v, w} is linearly independent then so is the set {u, u+v, u+v+w}
     
    Last edited: Dec 14, 2009
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  3. Dec 14, 2009 #2

    HallsofIvy

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    ?? What is U?
     
  4. Dec 14, 2009 #3

    CompuChip

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    Can you explain your notation?
    So u is an element of the linear space V, but what is U?
    What is OV, is it the zero element in V?
     
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