# linear transformation

• Oct 25th 2009, 09:14 PM
mancillaj3
linear transformation
im given that $V$ and $W$ are vectors spaces now i need to show that the linear transformation $L(V,W)$ is a vector space.
Do I have to show the properties of a vector space.
Commutativy. i.e show $(S+T)=(T+S)$, such that $S,T \in L(V,W)$ and for an arbritary $v \in V$

I need some help here please
• Oct 25th 2009, 09:38 PM
Bruno J.
Yes, to show that it is a vector space you should prove that it has all the necessary properties.