6x 1 = (2)ų pue 3 – x = (2)6 hq pelves as a co to on to a los e os (26) = projy (f) Use the inner product =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use the inner product<f,g >=
= √₁² fe
f(x)g(x)dx in the vector space Cº [0, 1] to find the orthogonal projection of f(x) = 3x²+2 onto the subspace V spanned by g(x) = x
projy (f) = 6x
and h(z) 1.
Transcribed Image Text:Use the inner product<f,g >= = √₁² fe f(x)g(x)dx in the vector space Cº [0, 1] to find the orthogonal projection of f(x) = 3x²+2 onto the subspace V spanned by g(x) = x projy (f) = 6x and h(z) 1.
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Step 1: Write formula for projection

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