1. Let T : P2 → P2 be given by T(p(t)) = p(t – 1) (so it sends the polynomial at? + bt +c to a(t – 1)2 + b(t – 1) + c). Prove that T is an isomorphism.
1. Let T : P2 → P2 be given by T(p(t)) = p(t – 1) (so it sends the polynomial at? + bt +c to a(t – 1)2 + b(t – 1) + c). Prove that T is an isomorphism.
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. Let T : P2 → P2 be given by T(p(t)) = p(t – 1) (so it sends the polynomial at? + bt +c
to a(t – 1)2 + b(t – 1) + c). Prove that T is an isomorphism.
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