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The set B = {1- t², t – t², 2 − 2t + 22} is a basis for P₂. Find the coordinate vector of p(x)=3+t-6t² relative to B.

The set B = {1- t², t – t², 2 − 2t + 22} is a basis for P₂. Find the coordinate vector of p(x)=3+t-6t² relative to B.

Advanced Engineering Mathematics
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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22. The set B = {1– t2,t – t²,2 – 2t + 2°} is a basis for P2. Find the coordinate vector of p(r) = 3+t - 6t² relative to B.
Transcribed Image Text:22. The set B = {1– t2,t – t²,2 – 2t + 2°} is a basis for P2. Find the coordinate vector of p(r) = 3+t - 6t² relative to B.
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