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Question

Question: Which of the following is always correct...

Which of the following is always correct

A

B' A B is symmetric if A is symmetric

B

B' A B is symmetric if A is skew Symmetric

C

B' A B is skew symmetric if A is symmetric

D

None of these

Answer

B' A B is symmetric if A is symmetric

Explanation

Solution

(B' A B)' = B'. A' (B')' = B' A' B

if A is symmetric

then (B'. A . B)' = B'. A . B

hence symmetric