Real matrices [A]_3×1, [B]_3×3, [C]_3×5, [D]_5×3, [E]_5×5 and [F]_5×1 are given. Matrices [B] and [E] are symmetric.
Following statements are made with respect to these matrices.
1. Matrix product [F]^T[C]^T[B] [C] [F] is a scalar.
2. Matrix product [D]^T[F] [D] is always symmetric.
With reference to above statements, which of the following applies?

A. Statement 1 is true but 2 is false

B. Statement 1 is false but 2 is true

C. Both the statements are true

D. Both the statements are false

Answer: Option A