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2 Gram-Schmidt algorithm to conv -e {1, x, x} space to an orthogo where the internal Product is => = P(0) Q (0) + P(1) Q (1) + P (2) Q = •>=S² P(x) Q (x) dx

2 Gram-Schmidt algorithm to conv -e {1, x, x} space to an orthogo where the internal Product is => = P(0) Q (0) + P(1) Q (1) + P (2) Q = •>=S² P(x) Q (x) dx

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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use the Gram-Schmidt algorithm to convert the base {1, X, X²} space to an orthogonal base where the internal Product is O P, Q = P(o) Q (0) + P(1) Q (1) + P (2) Q (2) 2 Ⓒ <P> Q >= √ ² P(x) Q (x) dx 2
Transcribed Image Text:use the Gram-Schmidt algorithm to convert the base {1, X, X²} space to an orthogonal base where the internal Product is O P, Q = P(o) Q (0) + P(1) Q (1) + P (2) Q (2) 2 Ⓒ <P> Q >= √ ² P(x) Q (x) dx 2
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