Can I get some help with this "evaluating general linear transformations" problem? Let T : P2 → R² be the linear transformation defined by[-2a1 + 3a2T(a1x2 + a2x + a3) =-a2 + 2a3Ex: 5 :T(2а? + За + 5) —Ex: 5

Explanation of the answer is as follows

Answered: Let T : P2 → R² be the linear…

Let T : P2 → R² be the linear transformation defined by -2а1 + Заз T(a1x² + a2x + a3) = -az + 2az Ex: 5: T(2x? + 3x + 5) = Ex: 5

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.CR: Review Exercises

Problem 21CR: Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find...

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Can I get some help with this "evaluating general linear transformations" problem?

Let T : P2 → R² be the linear transformation defined by
[-2a1 + 3a2
T(a1x2 + a2x + a3) =
-a2 + 2a3
Ex: 5 :
T(2а? + За + 5) —
Ex: 5

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