Question: Consider the vector space C[-1, 1] with inner product defined by (a) Show that form an orthonormal set of vectors. (b) Use the result from

Consider the vector space C[-1, 1] with inner product defined by

(a) Show that

form an orthonormal set of vectors.
(b) Use the result from part (a) to find the best least squares approximation to h(x) = x1/3 + x2/3 by a linear function.

/6 and 112(x)= 11 i (x)=

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