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Pankaj Paul posted an Question
April 09, 2020 • 18:00 pm 30 points
  • CSIR NET
  • Mathematical Sciences

Let s, te l(v1, v2), vi, v2 are finite dimensional vector spaces. then . (a) rank s+ rank ts rank (s + t) (b) im (s + t) = im s + im t (c) im (s + t) c im s + m

Let S, Te L(V1, V2), Vi, V2 are finite dimensional vector spaces. Then . (A) rank S+ rank Ts rank (S + T) (B) Im (S + T) = Im S + Im T (C) Im (S + T) C Im S + m T (D) min{rank S, rank T} < rank ST, where Vi V2

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