If A and B are symmetric metrices of same order, then AB - BA is a

The correct answer is Option (2) - Skew symmetric matrix

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

so $P=(AB-BA)$

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

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

$=BA-AB$

$=-(AB-BA)=-P$

$P^T=-P$

skew symmetric