Let B = {x²+x,-2x² + 3x + 3, 2x² – x – 2} be a basis of P2(R)
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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Linear Methods
![3. Let B = {x² + x, –2x² + 3x + 3, 2x² – x – 2} be a basis of P2(R) and p(x) = x² +x – 1.
Find the representation (component vector) [p(x)]B. You might find the representation
directly or use the change of basis matrix.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b2fa2bf-9757-4381-9fdb-859cf9db9746%2Fa7ccda1c-6a3b-44a8-b2f7-692a387dc1d2%2F1t8896i_processed.png&w=3840&q=75)
Transcribed Image Text:3. Let B = {x² + x, –2x² + 3x + 3, 2x² – x – 2} be a basis of P2(R) and p(x) = x² +x – 1.
Find the representation (component vector) [p(x)]B. You might find the representation
directly or use the change of basis matrix.
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