VectorSpace  

  RSS

0

Prove that any two vector spaces that have the same cardinal dimension are isomorphic (meaning there exists a bijective linear map between the two) and that any two isomorphic vector spaces have the same cardinal dimension. In other words, prove that V is isomorphic to W if and only if dim(V) = dim(W). If you are unaware of what cardinals are, prove this for finite dimensional vector spaces only.

That one guy that's always on

 
0

This is my 10 month late answer:

That one guy that's always on

 
Share:
  
Working

Please Login or Register