Let B = {1, x, x²} be a basis for P2 with inner product (p, a) = LF P(x)q(x) dx. Use the Gram-Schmidt orthonormalization process to verify the indicated inner products. (a?, 7) = = 14 STEP 1: Set up the integral. (2, 가 = 1,1 dx. STEP 2: Compute the definite integral. (2, 가 = |
Let B = {1, x, x²} be a basis for P2 with inner product (p, a) = LF P(x)q(x) dx. Use the Gram-Schmidt orthonormalization process to verify the indicated inner products. (a?, 7) = = 14 STEP 1: Set up the integral. (2, 가 = 1,1 dx. STEP 2: Compute the definite integral. (2, 가 = |
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, x²} be a basis for P2 with inner product
(p,
p(x)q(x) dx.
Use the Gram-Schmidt orthonormalization process to verify the indicated inner products.
(«2, 가 =D플
14
STEP 1: Set up the integral.
(a?, 7) = L'|
dx.
STEP 2: Compute the definite integral.
(2, 기 =
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