Consider P2 with the standard inner product. Then which one of the following pair is orthogonal a) p(x) = 2 + x², q(x) = } + x² b) p(x) = 2 + x², q(x) = –2 – a² c) p(x) = 4+ x + x², q(x) = 1 – 2x – 202 %3D d) p(x) = 2 – x², q(x) = 2 + x² e) p(x) = 2+x + x², q(x) = 2 – x – x² -

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
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Consider P2 with the standard inner product.
Then which oe of the following pair is
orthogonal
a) p(x) = 2+ a?, q(x) = } + x²
||
b) p(x) = 2+ x², q(x) = -2 – a?
%3|
%3D
c) p(x) = 4 + x + x², q(x) = 1 – 2x – 202
d) p(x) = 2 – a², q(x) = 2+ a?
e) p(x) = 2+ x + x², q(x) = 2 – x – x²
|
Transcribed Image Text:Consider P2 with the standard inner product. Then which oe of the following pair is orthogonal a) p(x) = 2+ a?, q(x) = } + x² || b) p(x) = 2+ x², q(x) = -2 – a? %3| %3D c) p(x) = 4 + x + x², q(x) = 1 – 2x – 202 d) p(x) = 2 – a², q(x) = 2+ a? e) p(x) = 2+ x + x², q(x) = 2 – x – x² |
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