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Compute the inner product ≤ p(x), q(x) >= p(xo)q(x0) + p(x₁)q(x₁) + p(x₂)q(x₂) where Xo = -1 p(x) = 1 + x² x₁ = 0 q(x) = 1x2x² x₂ = 1

Compute the inner product ≤ p(x), q(x) >= p(xo)q(x0) + p(x₁)q(x₁) + p(x₂)q(x₂) where Xo = -1 p(x) = 1 + x² x₁ = 0 q(x) = 1x2x² x₂ = 1

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Compute the inner product ≤ p(x), q(x) >= p(x)q(x) +p(x₁)q(x₁) +p(x₂)q(x₂) where Xo = -1 p(x) = 1 + x² q(x) = 1 x − 2x² X1 0 = x₂ = 1
Transcribed Image Text:Compute the inner product ≤ p(x), q(x) >= p(x)q(x) +p(x₁)q(x₁) +p(x₂)q(x₂) where Xo = -1 p(x) = 1 + x² q(x) = 1 x − 2x² X1 0 = x₂ = 1
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5. Find two linearly independent polynomials orthogonal to p(x) = 1 + x² using the inner product from problem 2.
Transcribed Image Text:5. Find two linearly independent polynomials orthogonal to p(x) = 1 + x² using the inner product from problem 2.
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Follow-up Question

Inner product of p(x), q(x) is <P(x),Q(x)> = -3

This is the question 2，Please use it to solve the fifth problem.

5. Find two linearly independent polynomials orthogonal to p(x) = 1 + x² using the inner product from problem 2.
Transcribed Image Text:5. Find two linearly independent polynomials orthogonal to p(x) = 1 + x² using the inner product from problem 2.
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