IIT JAM
Mahima Asked a Question
February 4, 2021 4:56 pmpts 30 pts
  • IIT JAM
  • Mathematics (MA)

Re let v, = (1, 0) v, = (1, -1) and v, = ( 0, 1), then how many linear transformationst:r are there such that t(v,) = v,, t(v,) = v. t(v,) = v,?

RE Let v, = (1, 0) v, = (1, -1) and v, = ( 0, 1), then how many linear transformationsT:R are there such that T(v,) = V,, T(v,) = V. T(v,) = V,?
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  • Deepak singh Best Answer
    Refer attachment answer is 0
    • cropped6439333295598430655.jpg
    • cropped2018640064143221942.jpg
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  • Piyush
    Any doubt then you can ask
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  • Piyush
    as v1 ,v2 v3 are linearly dependent as v1-v3-v2 =0 . but T(v1) -T(v3)-T(v2) is not zero.
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  • Piyush
    Zero transformations like this
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