A 6.
Which one of the following is an inner product on the given vector space V? Here,
C[a, b] denotes the vector space of continuous real-valued functions from [a, b] to
R.
(A) V = R2, (x, y) = x1Y1+X2Y2 + X1Y2.
(B) V = C[-1,1], (f, g) = ∫-1^1 sin(t)f(t)g(t)dt.
(C) V = Mn(R), (A, B) = det(AB).
(D) V = R2, (x, y) = x1Y1 - 2x2Y2·
(E) V = C[0, 1], (f, g) = ∫0^1 e^t f(t)g(t)dt.