#### Question

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

#### Solution

The correct answer is A.

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

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

Is there an error in this question or solution?

Solution If A, B Are Symmetric Matrices of Same Order, Then Ab − Ba Is a Concept: Order of a Matrix.