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
This Question Belongs to Engineering Maths >> Linear Algebra
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