(a) Suppose y is the set of all even functions in C[-1, 1]. Find the orthogonal complement y¹ of y in C[-1, 1] under the inner product on C[-1.1] given by (x,y)= £₁x(1) y(1) d (C[-1. 1] - the space of all continuous real valued functions on [-1, 1]).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a) Suppose y is the set of all even functions in
C[-1, 1]. Find the orthogonal complement y1
of y in C[-1, 1] under the inner product on
C[-1. 1] given by (x, y) = [',x(1)y(1)dt.
(C[-1. 1] - the space of all continuous real
valued functions on [-1, 1]).
Transcribed Image Text:(a) Suppose y is the set of all even functions in C[-1, 1]. Find the orthogonal complement y1 of y in C[-1, 1] under the inner product on C[-1. 1] given by (x, y) = [',x(1)y(1)dt. (C[-1. 1] - the space of all continuous real valued functions on [-1, 1]).
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