Answered: Use the functions f and g in C[-1, 1]…

Use the functions f and g in C[-1, 1] to find (f, g), ||F||, ||9||, and d(f, g) for the inner product (1, o) = L f(x)g(x) dx. f(x) = x2, g(x) = 2x2 + 4 (a) (f, 9) (b) ||| (c) ||| (d) d(f, g)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.1: Inner Product Spaces

Problem 12EQ

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Question

(Linear Algebra)

14.

5.2

Pls help thanks

Use the functions f and g in C[-1, 1] to find (f, g), ||F||, ||9||, and d(f, g) for the inner product
(1, 9) = [
(f,
f(x)g(x) dx.
f(x) = x2, g(x) = 2x2 + 4
(a)
(f, 9)
(b)
(c)
|lg||
(d)
d(f, g)

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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