試題詳解

9. (5%) Which of the following sets is an orthonormal basis for the designated vector space?
(A) , for R² with (x,y) -x^Ty.
(B) {cosz,sin x},for C[0,2π] with (f,g) = f(x)g(x)dx.
(C) {1,x,x²] for P₃with
(D) for R³ with (x,y)=x^TMy where M =
(E) None of the above.