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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

1 Answer

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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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