Question

if A and B are the matrices of same order then ( AB )'equals to ​

Answer 1

Answer:

(AB' - BA') is a skew - symmetric matrix.

Step-by-step explanation:

We have matrices A and B of same order .

Let P =  (AB'- BA')

= (AB')' - (BA')'

= (B')'(A)'- (A')'B' = BA' - AB' = -(AB' - BA') = -P

Hence, (AB' - BA') is a skew - symmetric matrix .