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Aastha posted an Question
January 17, 2020 • 02:00 am 15 points
  • IIT JAM
  • Mathematical Statistics (MS)

Question: 49/60 Let v, = (1, 0) v, = (1, -1) and v, ? = (0, 1), then how many linear transformations T: R3R2 are there such that T(v,) = V2 T(V) = v, T(v,) = v

Question: 49/60 Let v, = (1, 0) v, = (1, -1) and v, ? = (0, 1), then how many linear transformations T: R3R2 are there such that T(v,) = V2 T(V) = v, T(v,) = v (Click here to submit your answer)

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    Eduncle Best Answer

    Dear Astha,

    Greetings!!

    Refer the attached image for solution.

    Thank you for asking your query.

    2maths21.01.2020.JPG
  • Priyadarshan Choursiya

    here I give solution from R2 to R2. and you got 3 transformations, you also generalize that result

    upload_1579253593464.jpg
    upload_1579253606107.jpg
  • Priyadarshan Choursiya

    I think this question was wrong because you have linear transformation from R3 to R2, but they give you elements of R2 i.e. v1,V2,V3 which are elements of R2. so the conclusion is that the linear transformation must be from R2 to R2

    eduncle-logo-app

    solve it from R2 to R2

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