et B = · 9, (x − 1)², 3x³) be an ordered basis for P3. Find the coordinate vector of (x) = 3x³ + 2x² + 6x − 5 relative to B. B = X -5 6.x x + 9 2+² (x-1)² 1
et B = · 9, (x − 1)², 3x³) be an ordered basis for P3. Find the coordinate vector of (x) = 3x³ + 2x² + 6x − 5 relative to B. B = X -5 6.x x + 9 2+² (x-1)² 1
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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Transcribed Image Text:Let B = (1, x
‚ x + 9, (x − 1)², 3x³) be an ordered basis for P3. Find the coordinate vector of
f(x) = 3x³ + 2x² + 6x - 5 relative to B.
fB =
X
-5
6.x
x + 9
1
2x²
-1)²
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