Define a linear transformation T: P₂ → R² by T (p) = []p(0)->>p(0)°‹[a] : a is a real number}O The basis of the range of T is {t, t²}The entire set of all real numbers, R[8]The entire set R²[3]: 0 is a real number}: a and b are real numbers}Describe the range of T.

Given: is a linear transformation defined by,

Answered: Define a linear transformation T : P₂ →…

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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Define a linear transformation T : P₂ → R² by T (p) = [] 0 :a is a real number} . Describe the range of T.