Let T : P3 → P3 be the linear transformation satisfying T(1) = 3x² + 3, T(x) = = −3x+7, T(x²): Find the image of an arbitrary quadratic polynomial ax² + bx + c. T(ax²+bx+c) = - 5 − x +4. = X

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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Let T : P3 → P3 be the linear transformation satisfying
T(1) = 3x² + 3, T(x) =
=
−3x+7, T(x²)
Find the image of an arbitrary quadratic polynomial ax² + bx + c.
T(ax²+bx+c)
=
- 5 − x +4.
=
X
Transcribed Image Text:Let T : P3 → P3 be the linear transformation satisfying T(1) = 3x² + 3, T(x) = = −3x+7, T(x²) Find the image of an arbitrary quadratic polynomial ax² + bx + c. T(ax²+bx+c) = - 5 − x +4. = X
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