Gokul Asked a Question
September 5, 2020 8:03 ampts 30 pts
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 thankyou
    Option A,B,C are incorrect For T to be onto (dimW < dimV ) For T to be one (dimV
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  • Deepak singh thankyou
    see attached ,it may clear your doubt...
    • cropped4277499896596542964.jpg
    • cropped8802901375517895506.jpg
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  • Piyush
    This Question is not framed correctly , I can discard all the options with counter examples.
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    Gokul
    ok
  • Gokul
    ok
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