e*,g(x) = = e-* in C[-1,1] Q4) For the following functions f(x) find < f,g >, |IF |I, d(f,g), and then find the angle between them for the inner product. 1 < f,g> = | f(x) g(x) dx

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 54EQ
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Q4) For the following functions f(x) = e*,g(x) = e-* in C[-1,1],
find < f,g >, ||f ||, d(f , g), and then find the angle between them for
the inner product.
< f,g>
f (x) g(x)
dx
-1
Transcribed Image Text:Q4) For the following functions f(x) = e*,g(x) = e-* in C[-1,1], find < f,g >, ||f ||, d(f , g), and then find the angle between them for the inner product. < f,g> f (x) g(x) dx -1
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