Hello,
I was wondering, is it sufficient to prove that B' is a basis if I showed that B' is linearly independent?
Or do is there anything else I would have to do?
If $\displaystyle B'\subset V$ has $\displaystyle n$ elements and $\displaystyle \dim V=n$ , then
$\displaystyle B'\textrm{\;lin.\;indep.\;}\Rightarrow B' \textrm{\;basis\;of\;}V$
Regards.
Fernando Revilla