Let T be a linear operator defined on P3 byT(a0+a1x+a2x^2)=a0+a1(x-1)+a2(x-1)^2. The thirdrow of the matrix associated with T with respectto base 1, x, x^2 is:a) (0,0,1)b) other responsec) (1,-2,1)d) (1,0,0)e) (-1,1,0)

Answered: Let T be a linear operator defined on…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let T be a linear operator defined on P3 by T(a0+a1x+a2x^2)=a0+a1(x-1)+a2(x-1)^2. The third row of the matrix associated with T with respect to base 1, x, x^2 is: a) (0,0,1) b) other response c) (1,-2,1) d) (1,0,0) e) (-1,1,0)