Let V be a vector space and T a linear transformation from V into V. Prove that the following two statements about T are equivalent. a) The Intersection of the range of T and the null space of T is the zero subspace of V. b) If T (T ??) =0, then T??=0. The mathematical notation shown above as a square is alpha, supposed to be read as : b) IF T ( T alpha ) =0, then T alpha = 0. am stuck!!!! jyotsna.