The set - B = {−2+2x², −6+ 4x + 6x², − 6 + 8x + 8x²} is a basis for P3. Find the coordinates of p(x) = 0 + 8x + 2x² relative to this basis: [p(x)]B =
The set - B = {−2+2x², −6+ 4x + 6x², − 6 + 8x + 8x²} is a basis for P3. Find the coordinates of p(x) = 0 + 8x + 2x² relative to this basis: [p(x)]B =
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 = {−2+2x²,
−6+4x+6x², − 6 + 8x + 8x²} is a
-
basis for P3. Find the coordinates of p(x) = 0 + 8x + 2x²
relative to this basis:
[p(x)]B =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6890296c-2fc0-4a83-b66a-ee1a85d807a1%2F05eb220f-f1e9-4d99-a01e-9691efb614d2%2Fec318n1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The set
B = {−2+2x²,
−6+4x+6x², − 6 + 8x + 8x²} is a
-
basis for P3. Find the coordinates of p(x) = 0 + 8x + 2x²
relative to this basis:
[p(x)]B =
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