 Hello and welcome to the session. In this session, we are going to discuss the following question and the question says that, find A and B if the matrix containing elements 2B A3 into the matrix containing elements 1, 1, 2, 1 is equal to the matrix containing elements 3, 5, 5, 7. The given matrix equation is the matrix containing elements 2B A3 into the matrix containing elements 1, 1, 2, 1 is equal to the matrix containing elements 3, 5, 5, 7. Consider the LHS that is matrix containing elements 2B A3 into the matrix containing elements 1, 1, 2, 1. By multiplying these two matrices, we obtain the matrix containing elements 2 into 1 plus A into 1. The second element will be 2 into 2 plus A into 1. The third element is B into 1 plus 3 into 1 and the fourth element is B into 2 plus 3 into 1. This will be equal to the matrix containing elements 2 plus A, B plus 3, 4 plus A and 2B plus 3. Now, by the given matrix equation we have the matrix containing elements 2 plus A, B plus 3, 4 plus A and 2B plus 3 is equal to the matrix containing elements 3, 5, 5, 7. As we know, if two matrices are equal, their corresponding elements are also equal. Therefore, we get the equations 2 plus A equal to 3, 4 plus A equal to 5, B plus 3 equal to 5 and 2B plus 3 equal to 7. Now from the first equation, 2 plus A equal to 3, we have A equal to 3 minus 2 which is equal to 1. So, we get the value of A equal to 1. Similarly, if we consider the third equation that is B plus 3 equal to 5, this implies B is equal to 5 minus 3 which is equal to 2 that is the value of B is equal to 2. Hence, we have obtained A equal to 1 and B equal to 2 which is our answer. This completes our session. Hope you enjoyed the session.