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Problem 1. Consider the inner product space C[0, 1] with the inner product defined by (f.g) = f* f(x)g(x) dx and the induced norm. Find the angle between the functions h₁(x) = 1 and h₂(x) = = x.

Problem 1. Consider the inner product space C[0, 1] with the inner product defined by (f.g) = f* f(x)g(x) dx and the induced norm. Find the angle between the functions h₁(x) = 1 and h₂(x) = = x.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Problem 1. Consider the inner product space C[0, 1] with the inner product defined by (f.g) = f* f(x)g(x) dx and the induced norm. Find the angle between the functions h₁(x) = 1 and h₂(x) = = x.
Transcribed Image Text:Problem 1. Consider the inner product space C[0, 1] with the inner product defined by (f.g) = f* f(x)g(x) dx and the induced norm. Find the angle between the functions h₁(x) = 1 and h₂(x) = = x.
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