 Hi, and welcome to the session. I am Shashi. Let us do one question. Question is, if A transpose is equal to matrix minus 2, 3, 1, 2 and B is equal to matrix minus 1, 0, 1, 2, then find A plus 2B whole transpose. Now, first of all let us understand the key idea to solve the given question. If A is equal to matrix Aij Bn M into N matrix, then the matrix obtained by interchanging the rows and columns of A is called transpose of A. The transpose of matrix A is denoted by A dash. In other words, if A is equal to matrix Aij of the order M into N, then A transpose is equal to matrix Aji of the order N into M. Let us now start with the solution. You know A transpose given to us is matrix minus 2, 3, 1, 2, right? We also know that A is equal to transpose of A transpose, right? So, to find A, we will find transpose of A transpose that is minus 2, 3, 1, 2. We know first row of A transpose will change into first column of transpose of A transpose and second row of A transpose will change into second column of transpose of A transpose. So, transpose of A transpose is equal to matrix minus 2, 1, 3, 2. Or we can say A is equal to minus 2, 1, 3, 2 matrix as transpose of A transpose is equal to A. So, A is equal to matrix minus 2, 1, 3, 2. Now, B is equal to matrix minus 1, 0, 1, 2 as given in the question. Now, we will find 2B. 2B is equal to matrix minus 2, 0, 2, 4. To obtain 2B, we had multiplied every element of B with 2. Minus 1 multiplied by 2 minus 2, 1 multiplied by 2, 2. 2 multiplied by 2 is 4 and 0 multiplied by 2 is 0. Now, we will find A plus 2B that is equal to matrix minus 2, 1, 3, 2 plus minus 2, 0, 2, 4. Now, this is equal to minus 2 plus minus 2, 1 plus 0, 3 plus 2 and 2 plus 4, which is further equal to matrix minus 4, 1, 5, 6. So, A plus 2B is equal to matrix minus 4, 1, 5, 6. Now, we will obtain the value of A plus 2B transpose. So, A plus 2B transpose can be obtained by interchanging the rows and columns of A plus 2B. That is, we get minus 4, 1, 5, 6. First row of A plus 2B will become first column of A plus 2B whole transpose. And second row of A plus 2B will become second column of A plus 2B whole transpose. So, our A plus 2B whole transpose is equal to matrix minus 4, 5, 1, 6. So, our required matrix is minus 4, 5, 1, 6. This is our required answer. Hope you understood the session. Take care and good bye.