Prove that: L₁ (1-x²) PPdx 0, 2n(n+1) 2n +1 mn. m = 11. m, ne N

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.2: Matrix Algebra
Problem 21EQ: Prove the half of Theorem 3.3 (e) that was not proved in the text.
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Prove that:
L₁₁ (1-x²) P₁ P²dx =
0.
2n(n+1)
2n + 1
mn.
m = 1.
m, 11 € N
Transcribed Image Text:Prove that: L₁₁ (1-x²) P₁ P²dx = 0. 2n(n+1) 2n + 1 mn. m = 1. m, 11 € N
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