 Hi and welcome to the session. I am Shashi. Let us do one question. Question is if A transpose is equal to matrix 3, 4, minus 1, 2, 0, 1 and B is equal to matrix minus 1, 2, 1, 1, 2, 3. Then verify that A plus B whole transpose is equal to A transpose plus mini transpose. First of all, let us understand the key idea to solve the given question. If A is equal to matrix A, I, J, B and M into N matrix, then the matrix obtained by interchanging the rows and columns of A is called transpose of A. The transpose of the matrix A is denoted by A dash. In other words, if A is equal to matrix A, I, J of order M into N, then A transpose that is A dash is equal to matrix A, J, I of the order N into M. Let us now start with the solution. We know A transpose given to us in the question is the matrix 3, 4, minus 1, 2, 0, 1. We also know that A is equal to transpose of A transpose. So to find A, we will find transpose of A transpose. Transpose of A transpose is equal to 3, 4, minus 1, 2, 0, 1. First row of A transpose has changed into first column of transpose of A transpose. Second row of A transpose is equal to second column of transpose of A transpose and third row of A transpose has become the third column of the transpose of A transpose. And we know transpose of A transpose is equal to A. So A is equal to matrix 3, minus 1, 0, 4, 2, 1. Now the matrix B given in the question is A is equal to matrix minus 1, 2, 1, 1, 2, 3. A plus B is equal to matrix 3, minus 1, 0, 4, 2, 1, plus matrix minus 1, 2, 1, 1, 2, 3. Now we will add the corresponding elements of the two matrices. So we get 3 plus minus 1, minus 1 plus 2, 0 plus 1, 4 plus 1, 2 plus 2 and 1 plus 3. So matrix A plus B is equal to 2, 1, 1, 5, 4, 4. Now let us find out A plus B whole transpose. We know A plus B whole transpose is equal to 2, 1, 1, 5, 4, 4. We have obtained A plus B whole transpose by interchanging the rows and columns of A plus B. The row first row of A plus B is the first column of A plus B whole transpose and the second row of A plus B is the second column of A plus B whole transpose. Now A transpose given to us in the question is 3, 4, minus 1, 2, 0, 1. Right? And B given to us in the question is matrix minus 1, 2, 1, 1, 2, 3. Now we can get B transpose by interchanging the rows and columns of A. So we get B transpose equal to matrix minus 1, 2, 1. Right? So B transpose is equal to matrix minus 1, 1, 2, 2, 1, 3. Now let us find out A transpose plus B transpose. We know A transpose is equal to matrix 3, 4, minus 1, 2, 0, 1. And B transpose is equal to matrix minus 1, 1, 2, 2, 1, 3. Now to find A transpose plus B transpose we will add the corresponding elements of the two matrices. So we get 3 plus minus 1, 4 plus 1, minus 1 plus 2, 2 plus 2, 0 plus 1, 1 plus 3. Now we get A transpose plus B transpose is equal to matrix 2, 5, 1, 4, 1, 4. But this matrix is same as A plus B whole transpose. So we get A transpose plus B transpose is equal to A plus B whole transpose. Therefore we get A plus B whole transpose is equal to A transpose plus B transpose. Hence verify this completes the session. Hope you understood the session. Good try. Have a nice day.