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Let V be the 3-dimensional vector space of all polynomials of order less than or equal...

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Advance Math

Let V be the 3-dimensional vector space of all polynomials oforder less than or equal to 2 with real coe?cients.
(a) Show that the function B: V ×V ?R given by B(f,g) = f(?1)g(?1)+ f(0)g(0) + f(1)g(1) is an inner product and write out its Grammatrix with respect to the basis (1,t,t2).

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