Let B be the basis of P3 consisting of the Hermite polynomials 1, 2t, − 2 + 4t², and − 12t+8t³; and let p(t) = − 6 +8t² +8t³. Find the coordinate vector of p relative to B. [P]B =
Let B be the basis of P3 consisting of the Hermite polynomials 1, 2t, − 2 + 4t², and − 12t+8t³; and let p(t) = − 6 +8t² +8t³. Find the coordinate vector of p relative to B. [P]B =
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 B be the basis of P3 consisting of the Hermite polynomials 1, 2t, −2+ 4t², and − 12t+8t³; and
let p(t) = − 6 +8t² +8t³. Find the coordinate vector of p relative to B.
[P]B
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b6c3689-2b60-4c25-801e-fccc9acdd031%2Fb689a11f-a43d-4cd0-96dc-d92a384b95d7%2Ferntyks_processed.png&w=3840&q=75)
Transcribed Image Text:Let B be the basis of P3 consisting of the Hermite polynomials 1, 2t, −2+ 4t², and − 12t+8t³; and
let p(t) = − 6 +8t² +8t³. Find the coordinate vector of p relative to B.
[P]B
=
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