Let the vector space p2 have the inner product Apply the Gram-Schmidt process to transform the standard

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Let the vector space p2 have the inner product
Let the vector space p2 have the inner product 
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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.)

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