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) =|

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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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) = 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)
=
Transcribed Image Text:Let T: P3 → P3 be the linear transformation satisfying T(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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