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The set B={1-1²,1-1², 1+2t-12) is a basis for P₂. Find the coordinate vector of p(t) = -1+6t-3t² relative to B. [P]B (Simplifyur answer.)

The set B={1-1²,1-1², 1+2t-12) is a basis for P₂. Find the coordinate vector of p(t) = -1+6t-3t² relative to B. [P]B (Simplifyur answer.)

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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The set B={1-², 1-², 1+2t-12) is a basis for P₂. Find the coordinate vector of p(t) = − 1 + 6t-3t² relative to B. [P]B= (Simplifyur answer.) View an example Textbook Search = N' √
Transcribed Image Text:The set B={1-², 1-², 1+2t-12) is a basis for P₂. Find the coordinate vector of p(t) = − 1 + 6t-3t² relative to B. [P]B= (Simplifyur answer.) View an example Textbook Search = N' √
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Step 1: First we write p(t) as a linear combination of B

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