b.) answer. Let f = x² and g = (1-x)². Are x and y orthogonal in this inner product space? Justify your
b.) answer. Let f = x² and g = (1-x)². Are x and y orthogonal in this inner product space? Justify your
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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Q 3 Only do part B on paper please.
![3. Let C[0, 1] be equipped with the inner product (f.g) = f f(x)g(x)dx, where f = f(x) and g = g(x).
Let f = x. Find ||f||.
b.)
answer.
Let f = x² and g = (1-x)². Are x and y orthogonal in this inner product space? Justify your](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f4c86b2-1247-4388-bf18-f90827f5643c%2Fb5e5e5a7-2827-40be-ab56-4714d5e7fd39%2F2dryu7o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Let C[0, 1] be equipped with the inner product (f.g) = f f(x)g(x)dx, where f = f(x) and g = g(x).
Let f = x. Find ||f||.
b.)
answer.
Let f = x² and g = (1-x)². Are x and y orthogonal in this inner product space? Justify your
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