1
$\begingroup$

Prove that any subspace, W, of a finite-dimensional vector space V must also be finite dimensional.

  • 2
    Suppose for sake of contradiction that *W* isn't finite dimensional. That will probably contradict *V* being finite dimensional.2012-11-18
  • 1
    I'd rather not without first seeing what you've done. Mind showing us your work and where you got stuck?2012-11-18
  • 0
    @Neal Well my professor gave a hint saying we can use the Plus-minus theorem to prove this but i'm not sure how to go about proving this using plus-minus theorem.2012-11-18
  • 0
    You don't have to use the plus-minus theorem, but if you really want to, try to think of a set of vectors to apply the "plus" or the "minus" to yield a contradiction with *W* being finite dimensional.2012-11-19

2 Answers 2