1. Not finding help here? Sign up for a free 30min 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!

General Lin. Alg. Span Question

  1. May 13, 2009 #1

    hydralisks

    User Avatar

    If a question asks "does v1, v2, v3 span R4"
    can i just say no, regardless of what v1 v2 v3 is
    because v1 v2 and v3 is just 3 dimensions while R4 needs 4 dimensions?
     
    hydralisks, May 13, 2009
  2. jcsd
    Phys.org - latest science and technology news stories on Phys.org
  3. May 13, 2009 #2

    fluidistic

    User Avatar
    Gold Member

    I'm almost sure you're right on this.
     
    fluidistic, May 13, 2009
  4. May 13, 2009 #3

    hydralisks

    User Avatar

    Thanks!
     
    hydralisks, May 13, 2009
  5. May 14, 2009 #4

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Yes. If a set of vectors spans a space, then some subset of it forms a basis for the space. Since no subset of 3 vectors can span a four dimensional set, this set cannot span R4.
     
    HallsofIvy, May 14, 2009
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: General Lin. Alg. Span Question

  1. Lin. Alg. Invertility (Replies: 1)

  2. Lin Alg - Rank of a Matrix (Replies: 6)

  3. [Lin Alg - Eigenvectors] (Replies: 4)

  4. Lin. Alg. Subspaces Problem (Replies: 4)

  5. Lin. Alg. Projections conceptual question (Replies: 1)

Loading...