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

Let V be the 3-dimensional vector space of all polynomials of order less than or equal to 2 with real coeﬃcients.
(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 Gram matrix with respect to the basis (1,t,t²).

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Colby Messinger answered 1 year ago

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