Q. 633.7( 3 Votes )

If A and B are matrices of same order, then (AB’ – BA’) is a
A. skew symmetric matrix

B. null matrix

C. symmetric matrix

D. unit matrix

Answer :

Let C = (AB’ – BA’)

C’ = (AB’ – BA’)’

C’ = (AB’)’ – (BA’)’

C’ = (B’)’A’ – (A’)’B’

C’ = BA’ – AB’

C’ = -C

C is a skew-symmetric matrix.

Clearly Option (A) matches with our deduction.

Option (A) is the correct.

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