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21. The set B = {1+t°,t+t²,1+2t + 2°} is a basis for P2. Find the coordinate vector of P(r) = 1+4t + 7t² relative to B.

21. The set B = {1+t°,t+t²,1+2t + 2°} is a basis for P2. Find the coordinate vector of P(r) = 1+4t + 7t² 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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21. The set B = {1+t²,t+t,1+ 2t + 2²} is a basis for P2. Find the coordinate vector of p(r) = 1+ 4t + 7t² relative to B.
Transcribed Image Text:21. The set B = {1+t²,t+t,1+ 2t + 2²} is a basis for P2. Find the coordinate vector of p(r) = 1+ 4t + 7t² relative to B.
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