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Linear Algebra : Orthogonal Projection

Consider vector space C[0,1] with scalar product: for any two functions f(x), g(x)

(f,g)=integral from 0 to 1 of f(x)g(x)xdx.

Find the orthogonal projection p of e^x onto x. Also find the norms of e^x and x.

Solution Summary

The orthogonal projection of a vector set is found.