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Engineering Maths · Q63

Linear Algebra

Engineering and GATE · Engineering Maths · question 63

Q63

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
Answer
B.
Statement 1 is false but 2 is true
C.
Both the statements are true
D.
Both the statements are false

Answer: Option A

Solution

Answer: Option A
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