 Hi and welcome to the session. I'm Shashi. Let us do one question. Question is if A, B are symmetric matrices of same order then A, B minus B, A is our A skew symmetric matrix, B symmetric matrix, C zero matrix, D identity matrix. First of all, let us understand the key idea to solve the given question. Any square matrix A is said to be skew symmetric if A transpose is equal to minus A. Any square matrix A is said to be symmetric if A transpose is equal to A. For any matrices of suitable orders, we have A plus B whole transpose is equal to A transpose plus B transpose and transpose of A, B is equal to B transpose A transpose. Let us now start with the solution. We know A, B are symmetric matrices. Therefore, we get A is equal to A transpose and B is equal to B transpose. That is the transpose of A is equal to itself and the transpose of B is equal to itself. We know symmetric matrices are square matrix, so A and B are square matrix of same order. This implies A, B and B are defined. Hence A, B minus B, A whole transpose is equal to A, B plus minus B, A whole transpose. This is because A minus B is equal to A plus minus B, right? Now it is equal to transpose of A, B plus transpose of minus B. This is because A plus B whole transpose is equal to A transpose plus B transpose. This we had already read in key idea. Now this is further equal to A, B whole transpose minus B, A whole transpose. Now we know transpose of A, B is equal to B transpose A transpose. So we can write it equal to B transpose A transpose minus this can be written as A transpose B transpose. This is because we had already read in key idea transpose of A, B is equal to B transpose A transpose. Now we know B and A are symmetric matrices. So B transpose is equal to B and A transpose is equal to A. Similarly, it can be written as A, B as A transpose is equal to A and B transpose is equal to B. Now if we take minus one as common factor, then we get minus one multiplied by A, B minus B, A. So we get transpose of A, B minus B, A is equal to minus A, B minus B, A. Now since transpose of A, B minus B, A is equal to negative of itself. This implies A, B minus B, A is our skew symmetric matrix. So our correct answer is A, skew symmetric matrix. We know if the transpose of a matrix is equal to negative of itself, then it is our skew symmetric matrix. So we can see here transpose of A, B minus B, A is equal to minus of A, B minus B, A. So it is our skew symmetric matrix. So our correct answer is A. This is our required answer. This completes the session. Hope you understood the session. Take care and goodbye.