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Shamsun Asked a Question
August 27, 2020 4:02 pmpts 30 pts
9 Let v, = (1, 0) v, = (1, -1) and v, = (0, 1), then how many linear transformations T: RR are there such that T(v,) = V T(V) = V T(v) = V,?
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  • Deepak singh Best Answer
    see attached , it will clear your doubt..
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  • Anonymous User thankyou
    There doesn't exist any such linear transformation.... T is from R³ into R²... since V1, V2, V3 are vectors in R², so T cannot maps them as these vectors don't belong to their doma...
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    Shamsun
    printed mistakes ..T:R^2 to R^2
  • Piyush thankyou
    PFA
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    Piyush
    Any doubt then you can ask.
  • Anonymous User
    in case of R² into R², again there doesn't exist any such linear transformation... see the attachment
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    Shamsun
    but solutions is three
  • Deepak singh
    see this result...
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    Shamsun
    so possible LT is 3
  • Subhankar dhara
    and
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    Shamsun
    thank you..
  • Subhankar dhara
    see it
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  • Deepak singh
    any doubt then ask
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