Question

Let f(x)=−6, g(x)=−4x+4 and h(x)=−9x2. Consider the inner product 〈p,q〉=∫40p(x)q(x)dx in the vector space C0[0,4] of...

Let f(x)=−6, g(x)=−4x+4 and h(x)=−9x2. Consider the inner product 〈p,q〉=∫40p(x)q(x)dx in the vector space C0[0,4] of continuous functions on the domain [0,4]. Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of C0[0,4] spanned by the functions f(x), g(x), and h(x).

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