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Shamsun posted an Question
November 16, 2020 • 15:31 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Exercise 4. let n be a positive integer and let h, be the space of all nxn matrices a)with entries in r satisfying ay =a, henever i+j=r+ s(i, j, r, s = 1,., n)a

Exercise 4. Let n be a positive integer and let H, be the space of all nXn matrices A)with entries in R satisfying ay =a, henever i+j=r+ s(i, j, r, s = 1,., n)a Then the dimersion of H,, as a vector as a vector space over R, is (CSIR UGC NET DEC-2011) d) 2n-1 (a) n (b) n'-n+1 () 2n-+7 vercise 5. Let S={(-1,0, 1),2,1,4)}.The value of k for which the vector (3kf2,3,10) belongs to the linear span ofS is (a)-2 (b) 2 (c)8 (d) 3 Evdcise h. Let S={x.X }and T=fv. }be subsets of the sieciar en

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    Piyush pachauri

    For exercise 5 , Ans is 2, compare 2nd and 3rd coordinate

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    Piyush pachauri Best Answer

    Option D is correct for excercise 4 , If you calculate for n=3,dim =5 , All options are discarded except D

  • Anonymous User best-answer

    See attachment. Any doubt then ask Option D and B are correct

    cropped5491129296087639350.jpg
    cropped2761094003801225355.jpg
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