If A and B are symmetric matrices of the same order, then AB - BA is a:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) - skew symmetric matrix
$(AB-BA)^T$
$=(AB)^T-(BA)^T$
$=B^TA^T-A^TB^T$
$=BA-AB$
so $(AB-BA)^T=-(AB-BA)$
Hence its skew symmetric