1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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

    None

    3. The attempt at a solution

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

    Mark44

    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

    Mark44

    Staff: Mentor

    The problem tells you that this set spans V. You are supposed to say what this means.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook