Let T: P3 → P3 be the linear transformation satisfyingT(1) = 3r²7, T(x) = −3x+8, T(x²) = 2x² + x +4.Find the image of an arbitrary quadratic polynomial az²+bx+c.T(ar²+bx+c)=

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Answered: Let T: P→ P3 be the linear…

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: P→ P3 be the linear transformation satisfying T(1) 32²7, T(x)=-3x+8, T(x²) = 2x² + x +4. Find the image of an arbitrary quadratic polynomial ax² + b + c. T(ax²+bx+c) =|