Let V be the vector space of polynomials of degree < 2 with real coefficients, endowed with the structure of an inner product space by setting s.8):=/s (f, g) f(t)g(t)dt. Produce an orthonormal basis for V by applying the Gramm-Schmidt orthogonalisation process to the basis (1, x, x²) of V.

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Q: Let V be the vector space of polynomials of degree < 2 with real coefficients, endowed with the…

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