Let C [−1, 1] be the vector space of all continuous functions over the interval −1≤x≤1. Let (f, g) be the inner product
Posted: Tue Jul 12, 2022 12:42 pm
Let C [−1, 1] be the vector space of all continuous functions over the interval −1≤x≤1. Let (f, g) be the inner product on C [-1, 1] given by (f, g) = f f(x)g(x)dx 1 Find the cubic polynomial x³ + ax² + bx + c that is orthogonal to 1, x and x² − 3 in C [−1, 1] under the inner product (f, g) defined above.