DeterminantHard

Question

If A is a square matrix, then 

Options

A.AA′ is symmetric
B.AA′ is skew - symmetric
C.A′A is symmetric
D.A′A is skew - symmetric

Solution

A = A′ is symmetric
(A) (AA′)′ = (A′)′A′ = AA′
(C) (A′A)′ = A′(A′)′ = A′A

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