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!

Dimensionality proof

  1. Feb 18, 2008 #1
    1. The problem statement, all variables and given/known data Prove that the subspace of a finite dimensional vector space is finite dimensional

    2. Relevant equations dim(V)=#basis vectors

    3. The attempt at a solution
    I was thinking about making a summation of the basis vectors in the vector space and the subtracting the summation of the basis vectors in the subspace. That way I get a finite# of basis vectors left over. But that thinking turned out to be flawed because I'm assuming that the #of basis vectors in the subspace is finite(what I'm trying to prove). So I'm back to square 1.
  2. jcsd
  3. Feb 18, 2008 #2


    User Avatar
    Science Advisor
    Homework Helper

    Can a finite-dimensional space have infinitely many linearly independent vectors?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Dimensionality proof
  1. A proof! (Replies: 0)