Let B be the basis of P3 consisting of the Hermite polynomials 1, 2t, -2+4t², and -12t+8t³; and let p(t) = -2 +4t² - 8t³. Find the coordinate vector of p relative to B.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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
2
p(t) = -2 +4²-8³.
[P]B
=
- 8t³. Find the coordinate vector of p relative to B.
Transcribed Image Text:Let B be the basis of P3 consisting of the Hermite polynomials 1, 2t, -2+4t², and 12t+8t³; and let 2 p(t) = -2 +4²-8³. [P]B = - 8t³. Find the coordinate vector of p relative to B.
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