3. Define the function T : R² → P2 by the operation T( (6)) = x²+ax+b. Demonstrate whether T satisfies the sum and scalar multiple rules required for linear transformations.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 56E
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Linear Alegrba and Differential Equations

3. Define the function T : R² → P2 by the operation T( (6)) = x²+ax+b. Demonstrate whether
T satisfies the sum and scalar multiple rules required for linear transformations.
Transcribed Image Text:3. Define the function T : R² → P2 by the operation T( (6)) = x²+ax+b. Demonstrate whether T satisfies the sum and scalar multiple rules required for linear transformations.
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