If A, B are symmetric matrices of same order, then AB -BA is a :

The correct answer is Option (1) → Skew-symmetric matrix

Given: $A^T=A,B^T=B$

so $(AB-BA)^T$

$=(AB)^T-(BA)^T$

$=B^TA^T-A^TB^T$

$=BA-AB$

$(AB-BA)^T=-(AB-BA)$