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Sourav posted an Question
July 16, 2020 • 02:14 am 30 points
  • IIT JAM
  • Mathematics (MA)

Let t: rr be a linear transformation of the 2-dimensional vector space r (the x-y-plane to itself which is the reflection across a line y = mx for some m e r. t

Let T: RR be a linear transformation of the 2-dimensional vector space R (the x-y-plane to itself which is the reflection across a line y = mx for some m e R. Then the matrix representation of the linear transformation T with respect to the standard basis B {e, e,} of R, where eo 1 1 1+m 1+m 2m m-1 2m 1 1-m 1+m 2m m-1 2m (B) (A) 1 1 1-m 1+ m 2m 2m m+1 (D) None of these (C)

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