2. Define the inner product (f.9) f(x)g(2) dz on P[r]3. Find an orthonormal basis under this inner product. Feel free to use your favorite software to evaluate any integrals.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 17E: Complete Example 2 by verifying that {1,x,x2,x3} is an orthonormal basis for P3 with the inner...
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2. Define the inner product
(1.9) f(x)g(x)
dx
on P[r]3. Find an orthonormal basis under this inner product. Feel free to
use your favorite software to evaluate any integrals.
Transcribed Image Text:2. Define the inner product (1.9) f(x)g(x) dx on P[r]3. Find an orthonormal basis under this inner product. Feel free to use your favorite software to evaluate any integrals.
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