Gokul posted an Question
September 05, 2020 • 13:33 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Let vand wbe finite-dimensional vector spaces and t: v>wbe a linear transformation. then ca) dim v< dim w »t eannot be onto b) dim v> dim w =tcannot be one-to-o

Let Vand Wbe finite-dimensional vector spaces and T: V>Wbe a linear transformation. Then CA) dim V< dim W »T eannot be onto B) dim V> dim W =Tcannot be one-to-one (C) dim V+ null T= rank T (D) dim V= dim W = Tis invertible. D

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    Piyush pachauri

    This Question is not framed correctly , I can discard all the options with counter examples.

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    ok

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    You agree Right?

  • comment-profile-img>
    Piyush pachauri best-answer

    Option A,B,C are incorrect For T to be onto (dimW < dimV ) For T to be one (dimV

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