5A Given the inner product space of polynomials with real coefficients, degree ≤n (P₁(R),+,., ° ), where, Pn= {p(x)=anx¹ +...+a₁x +ao | a¡¤R, i= {0,1,...,n}}, 。 : P₁×Pn →R+ : (p(x), q(x)) → p(x) °q(x) = f p(x) q(x) dx and the subset S={p1(x)=1, p2(x)=x, p³(x)=2x²+x+1} of Pn. Find the angles of the polynomials p₁(x), p2(x) кai p₁(x), p³(x).
5A Given the inner product space of polynomials with real coefficients, degree ≤n (P₁(R),+,., ° ), where, Pn= {p(x)=anx¹ +...+a₁x +ao | a¡¤R, i= {0,1,...,n}}, 。 : P₁×Pn →R+ : (p(x), q(x)) → p(x) °q(x) = f p(x) q(x) dx and the subset S={p1(x)=1, p2(x)=x, p³(x)=2x²+x+1} of Pn. Find the angles of the polynomials p₁(x), p2(x) кai p₁(x), p³(x).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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