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Defining a statement (Vector Algebra)

  1. Feb 9, 2010 #1
    1. The problem statement, all variables and given/known data

    Let V be a vector space over the field F. Define what is meant by the statement
    "For vectors v1, v2,...,vn belonging to V, the set {v1,v2,...,vn} spans V

    2. Relevant equations


    3. The attempt at a solution

    Does it mean that the set is linearly dependent?
  2. jcsd
  3. Feb 9, 2010 #2


    Staff: Mentor

    You can't tell whether the vectors are linearly dependent or linearly independent without knowing more about your vector space V.

    Doesn't your book have a definition of the term "span"?
  4. Feb 10, 2010 #3
    So it is a spanning set for V?
  5. Feb 10, 2010 #4


    Staff: Mentor

    The problem tells you that this set spans V. You are supposed to say what this means.
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