Let [A]_{3 \times 1},[B]_{3 \times 3},[C]_{3 \times 5},[D]_{5 \times 3},[E]_{5 \times 5} and [F]_{5 \times 1} be real matrices where [B] and [E] are symmetric. The following statements are made with respect to these matrices. Statement (i) Matrix product [D]^T[F][D] is always symmetric. Statement (ii) Matrix product [F]^T[C]^T[B][C][F] is a scalar. Then