Nandani posted an Question
June 26, 2022 • 01:11 am 30 points
  • IIT JAM
  • Mathematics (MA)

Let p be the vector space (over r) of all polynomials of degree s s witn real coefficients consider the linear transformation t: p p defined by ents. t(a0 + a1x

Let P be the vector space (over R) of all polynomials of degree s S WItn real coefficients Consider the linear transformation T: P P defined by ents. T(a0 + a1X + agx +agx) = ag +a2X +a,x +agx Ihen, the matrix representation M of T with respect to the ordered basis {1, x, x2 3 (a) M +la = 0 1,X, x,x*) satisties ) M-Ia =0 (d) M+la =0 (c) M-la =0

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