If A and B are matrices of the same order, then ABT – BTA is a


A & B are matrices of same order,

Let K = (ABT- BAT)


= (ABT)T - (BAT)T


= (BT)T(A)T- (AT)TBT


= BAT - ABT


= -(ABT - BAT)


= -K


Hence, (ABT – BTA) is a skew - symmetric matrix .


Option (A) is the answer.

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