1. The set of functions {Po, P₁, Pn} in [a, b] is called a set of orthonormal functions, with respect to a weight function w(x), if a) fw(x) n(x) m(x) dx = 0 b) fw(x) Pn(x) n(x) dx = n c) Sw(x) Pn(x) Pm (x) dx = 1 d) None of the above a O

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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1. The set of functions {Po, P₁, Pn} in [a, b] is called a set of orthonormal
functions, with respect to a weight function w(x), if
a) fw(x) n(x) Pm (x) dx = 0
b) fw(x) n (x) n(x) dx = n
c) sow(x) n(x) m(x) dx = 1
d) None of the above
a
O b
O C
O d
Transcribed Image Text:1. The set of functions {Po, P₁, Pn} in [a, b] is called a set of orthonormal functions, with respect to a weight function w(x), if a) fw(x) n(x) Pm (x) dx = 0 b) fw(x) n (x) n(x) dx = n c) sow(x) n(x) m(x) dx = 1 d) None of the above a O b O C O d
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