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Let T: P₂ P₂ and S: P₂ → P₂ be linear transformations defined as T(ar²+bx+c) = cx² + ax + b and S(p(x)) = p(2)x² + p(1)x+p(0). Compute (SoT) (3x² + 4x + 4) and (ToS) (3x² + 4x + 4) = x²+ x² + x+ x+

Let T: P₂ P₂ and S: P₂ → P₂ be linear transformations defined as T(ar²+bx+c) = cx² + ax + b and S(p(x)) = p(2)x² + p(1)x+p(0). Compute (SoT) (3x² + 4x + 4) and (ToS) (3x² + 4x + 4) = x²+ x² + x+ x+

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: P₂ →→ P₂ and S: P₂ → P₂ be linear transformations defined as T(ax² + bx + c) = cx² + ax + b and S(p(x)) = p(2)x² +p(1)x+p(0). Compute (SoT) (3x² + 4x + 4) and (ToS) (3x² + 4x + 4) = x² + x² + x+ x+
Transcribed Image Text:Let T: P₂ →→ P₂ and S: P₂ → P₂ be linear transformations defined as T(ax² + bx + c) = cx² + ax + b and S(p(x)) = p(2)x² +p(1)x+p(0). Compute (SoT) (3x² + 4x + 4) and (ToS) (3x² + 4x + 4) = x² + x² + x+ x+
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