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QUESTION
so we have the Vector space of C [0, 1] of the continuous functions of [0, 1] in R of the product scalar (f,g) = 0 1 f(x)g(x) dx 1) Determine an
- so we have the Vector space of C [0, 1] of the continuous functions of [0, 1] in R of the product scalar (f,g) = ∫01 f(x)g(x) dx
1) Determine an orthogonal basis of the subspace U of C [0, 1] generated by the functions
1 and x
2) Determine the orthogonal projection of x2 on U
