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Tanu Sharma posted an Question
August 29, 2020 • 11:07 am 30 points
  • IIT JAM
  • Mathematical Statistics (MS)

Example: examine which of the following sets is a subspace of the vector space v.(r). (a) w, = {(x, 2y, 3z) | x, y, z e r} (b) w, = {x, x, x) xe r} (c) w, = {(x

Example: Examine which of the following sets is a subspace of the vector space V.(R). (a) W, = {(x, 2y, 3z) | x, y, z e R} (b) W, = {x, x, x) xe R} (c) W, = {(x, y, z) |x, y, z e R}

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    Satpal singh Best Answer

    see the attachment

    cropped2581528376820231161.jpg
    cropped4020651440098471240.jpg
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    but in book W3 is not a subspace....

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    no there is wrong in booklet

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    bcoz x ,y z are belongs to R

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    if they have condition x,y z belongs to Q

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    in that case it is not a subspace

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    but for field of real numbers it is a subspace definitely

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    OK thank u 😊

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