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+1 vote
18.3k views
in Trigonometry by (41.6k points)

If A is any square matrix, then

(A) A + A′ is skew-symmetric

(B) A - A′ is symmetric

(C) AA′ is symmetric

(D) None of these 

1 Answer

+1 vote
by (41.4k points)
selected by
 
Best answer

Answer is (C) AA′ is symmetric

A is a square matrix

(AA′)′ = (A′)′⋅A′ = AA′

Hence, AA′ is a symmetric matrix.  

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