Question: Let the vector space p2 have the inner product Apply the Gram-Schmidt process to transform the standard basis S= {1, x, x2} into an orthonormal

Let the vector space p2 have the inner product

Apply the Gram-Schmidt process to transform the standard basis S= {1, x, x2} into an orthonormal basis. (The polynomials in the resulting basis are called the first three normalized Legendre polynomials.)

(p, q} = , p(x)a (x)dx -1

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