If T:V→WT: V \to WT:V→W is a linear transformation, what is the kernel of TTT?
The set of all vectors v∈Vv \in Vv∈V such that T(v)=0T(v) = 0T(v)=0.
The set of all vectors w∈Ww \in Ww∈W such that T(v)=wT(v) = wT(v)=w.
The span of the image of VVV.
The set of all scalars ccc such that T(cv)=cT(v)T(cv) = cT(v)T(cv)=cT(v).