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in Linear Equations by (49.9k points)
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If A is a square matrix then (A-A ’) is 

A. A null matrix 

B. An identity matrix 

C. A symmetric matrix 

D. A skew-symmetric matrix

1 Answer

+1 vote
by (55.0k points)
selected by
 
Best answer

Let X = A-A’ 

X’ = (A-A’)’ 

= A’ - (A’)’ 

=A’ – A 

= -(A – A’) 

= -X 

Therefore (A-A’) is skew symmetric matrix.

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