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Mathematics, 09.04.2021 17:00 Mani2019

Use the inner product ⟨f, g⟩=∫10f(x)g(x)dx
in the vector space C0[0,1] of continuous functions on the domain [0,1] to find the orthogonal projection of f(x)=6x2+3 onto the subspace V spanned by g(x)=x and h(x)=1. (Caution: x and 1 do not form an orthogonal basis of V.)

projV(f)=

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Use the inner product ⟨f, g⟩=∫10f(x)g(x)dx
in the vector space C0[0,1] of continuous function...

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