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12 Nov 2019
Let V = P lessthanorequalto 3, be the space of all polynomials in variable having degree lessthanorequalto 3, and the zero polynomial. Let (P(x), q(x)) = integral_-1^+1 p(x) q(x)/Squareroot 1 - x^2 dx be the inner product on V. Let B = {b_1 = 1, b_2 = x, b_3 = x^2, b_4 = x^3} be a basis in V. Orthogonalise B by using the Gram-Schmidt process. Show all your work.
Let V = P lessthanorequalto 3, be the space of all polynomials in variable having degree lessthanorequalto 3, and the zero polynomial. Let (P(x), q(x)) = integral_-1^+1 p(x) q(x)/Squareroot 1 - x^2 dx be the inner product on V. Let B = {b_1 = 1, b_2 = x, b_3 = x^2, b_4 = x^3} be a basis in V. Orthogonalise B by using the Gram-Schmidt process. Show all your work.
Collen VonLv2
1 Feb 2019