If
*A* , *B*
are symmetric matrices of same order, then *AB*
− *BA*
is a

**A.** Skew
symmetric matrix **B.** Symmetric
matrix

**C.** Zero
matrix **D. ** Identity
matrix

The correct answer is A.

*A*
and *B* are
symmetric matrices, therefore, we have:

Thus,
(*AB* −
*BA*) is a
skew-symmetric matrix.

**
**