Antima Jangid posted an Question
January 02, 2022 • 11:28 am 30 points
  • IIT JAM
  • Mathematics (MA)

19. let u, v and w be finite dimensional real vector space, t:u >v,s: v->w and p:w >u be linear transformation. if range (st)= nullspace (p), nullspace (st}= ra

19. Let U, V and W be finite dimensional real vector space, T:U >V,S: V->W and P:W >U be linear transformation. If range (ST)= nullspace (P), nullspace (ST}= range (P) and rank (T)=rank (S), then which one of the following is TRUE? (Anullity of T = nullity of S (b) dimension of U # dimension of W (c) If dimension of V = 3, dimension of U = 4, then P is not identically zero. (d) If dimension of V =4, dimension of U =3 and T is one one then P is identicaly 2ero. (IIT-JAM 2018) (TPh 20 Sunn (TD

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