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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) =|

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) =|

Advanced Engineering Mathematics
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: 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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