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Apply Gram-Schmidt process to obtain an orthonormal basis

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Reference no: EM132414031

Question - Consider an inner product on the vector space P2[-1, 1] of polynomials of degree 2 or less in the closed interval [-1, 1], defined as follows:

(f, g) = -1∫1f(t)g(t)dt, for all f, g ∈ P2[-1, 1].

Apply the Gram-Schmidt process to the basis {x1, x2, x3} = {3, t - 2, t2 + 1} to obtain an orthonormal basis.

Reference no: EM132414031

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