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

(i) Matrix product [F]T[C]T[B] [C] [F] is a scalar.  

(ii) Matrix product [D]T[F] [D] is always symmetric.

With reference to above statements, which of the following applies? 

1
Statement (i) is true but (ii) is false.  
2
Statement (i) is false but (ii) is true. 
3
Both the statements are true.  
4
Both the statements are false.

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