Solved: In 17 and 18, an inner product defined on the vector space P2 of all polynomials
Chapter 7, Problem 17(choose chapter or problem)
In Problems 17 and 18, an inner product defined on the vector space \(P_{2}\) 0f all polynomials of degree less than or equal to 2, is given by
\((p, q)=\int_{-1}^{1} p(x) q(x) d x\).
Use the Gram-Schmidt orthogonalization process to transform the given basis B for \(P_{2}\) into an orthogonal basis B'.
\(B=\left\{1, x, x^{2}\right\}\)
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