can anyone help me
with this question? It is about applied linear Algebra.
Given the vector space C[—1, 1] with our usual deﬁnition of inner product and norm, i.e., (m = [Imam-Ma: and Hill = (;1: mm. (a) Show that the vectors 1 and a: are orthogonal.
(b) Compute 1 and m
(c) Find the best least squares approximation to girl/3 in [—1, l] by a linear function 1(3) : cl – 1 + (:2 ’27. ((1) Sketch the graphs of 931/ 3 and ﬁx) on [—1,1].