If A and B are any symmetric matrices each of order $3×3$ then $AB - BA$ is :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → a skew-symmetric matrix
$(AB-BA)^T=(AB)^T-(BA)^T$
$B^TA^T-A^TB^T$
$=BA-AB$ [A and B = Symmetric]
$=-(AB-BA)$
∴ skew-symmetric