Answered: Consider P, with the standard inner…

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Consider P, with the standard inner product. Then which one of the following pair is orthogonal

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.4: The Lu Factorization

Problem 34EQ

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Question

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Consider P2 with the standard inner product.
Then which one of the following pair is
orthogonal
a) p(x) = 2+x +x², q(x) = 1 – x – x°
%3D
%3D
b) p(x) = 2+x², q(x) = -2 – x²
c) p(x) = 2 – a², q(x)= 2+ x²
d) p(x) = 2 + x², q(x) = } + a²
e) p(x) = 2+ x+ x2, q(x) = 2 – x - x2
%3D
%3D

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