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Vijay posted an Question
June 24, 2022 • 16:00 pm 30 points
  • CSIR NET
  • Mathematical Sciences

Let v be the vector space ofall 2 x 2 matrices over r. then the set w, consistingof all matrices a for which a2 = a, (a) is a subspace of v (b) 1s ot a subspace

Let V be the vector space ofall 2 x 2 matrices over R. Then the set W, consistingof all matrices A for which A2 = A, (a) is a subspace of V (b) 1s ot a subspace of Vas it is not closed with respect to vector addition (C) IS not a subspace of V as it is not closed w.rt. scalar multiplication (d) Both (b) and (c) ancieting of all matrices whick

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    Kanika goswami 1 Best Answer

    option b,c and d are correct. check attachments.

    cropped4956834884187232383.jpg
    cropped8154863339485626252.jpg
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    please show that it is not closed wrt scaler multiplication.

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    have any doubt?

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