Let v be a vector space and t transformation from v to v, then the intersection of the range of t and the null space of t is the zero subspace from of v if

Let V be a vector space and T transformation from V to V, then the intersection of the range of T and the null space of T is the zero subspace from of V if and only if, range of T is lifferent from the nullity of T 1. 2 T(x) = 0 X=0 T(T(x)) 0 x =0 3 T(T) = 0 = T) = 0 4. please explain..