## following statements are equivalent Show more Let V be a

following statements are equivalent Show more Let V be a vector space over F and T 2 L(V; V ). Prove that the following statements are equivalent (i.e. a) implies b) and vice versa): a) the intersection of range(T) and null(T) = {0} b) If T(T v) = 0, then T v = 0, for v 2 V Show less