A transformation T: P₂ → P₂ is defined as T(Co + C₁x + ₂x²) = 3¢₁ + a₁x + (a₁ + α₁)x² a. Check if T is a linear transformation b. Search Kernel T c. Is I a one-to-one transformation? Explain!
A transformation T: P₂ → P₂ is defined as T(Co + C₁x + ₂x²) = 3¢₁ + a₁x + (a₁ + α₁)x² a. Check if T is a linear transformation b. Search Kernel T c. Is I a one-to-one transformation? Explain!
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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Transcribed Image Text:1. A transformation T: P₂ → P2 is defined as
T(C₁ + ₁x + ₂x²) = 3¢₁ + α₁x + (a₁ + α₁)x²
a. Check if T is a linear transformation
b. Search Kernel T
c. Is I a one-to-one transformation? Explain!
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