CUSAT 2022 BTech Solved Paper Shift 4

Question : 180 of 200

Marks: +1, -0

Let [A]3×1,[B]3×3,[C]3×5,[D]5×3,[E]5×5 and [F]5×1 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