Define the inner product of two polynomials, f(x) and g(x) to be
< f | g > = ∫-11 dx f(x) g(x)
Let f(x) = 3 - x +4 x2.
Determine the inner products, < f | f1 >, < f | f2 > and < f | f3 >, where
f1(x) = 1/2 ,
f2(x) = 3x/2
f3(x) = 5(1 - 3 x2)/4
Expressed as a column vector these inner products are given by?
Can anyone help me understand this question, what is the point of g(x)? any help on approach would be helpful