Let u, v and w be firite cimensional vesl vector spaces, t.u v, s.v w ard p.wu be inear trasformaers. if renge (st) nulspae (p) nulspace (st) = range (p) and ra

Let U, V and W be firite cimensional vesl vector spaces, T.U V, S.V W ard P.WU be inear trasformaers. If renge (ST) nulspae (P) nulspace (ST) = range (P) and rank T) = rank S), then wtich one af the following is tnae ? (A) nulity cf T = rulty af S B dITension of U CimensIn of W t dmensicn ot V= 3, amonsion ct U= 4, then P is not derbcaly zero D) rdrIereaicrn of V-4, drrerrsiorn cf U 3 ad T is ure e, te P is icerically zero