 Hi and welcome to the session. I am Shashi and I am going to help you to solve the following question. Question is, find X if matrix X minus 5 minus 1 multiplied by matrix 102, 021, 203 multiplied by matrix X41 is equal to 0. Let us now start with the solution. We are given the matrix X minus 5 minus 1 multiplied by matrix 102, 021, 203 multiplied by matrix X41 is equal to 0. Now, we can see we have to find the product of three matrices. So, first of all we will multiply the first two matrices. Now, the number of columns in first matrix is 3 and the number of rows in second matrix is also 3. Since the number of columns of the first matrix is equal to number of rows of the second matrix, so their multiplication is defined. Now, multiplying the both matrices we get matrix X multiplied by 1 plus minus 5 into 0 plus minus 1 multiplied by 2. Second element is X multiplied by 0 plus minus 5 multiplied by 2 plus minus 1 multiplied by 0. Third element is X multiplied by 2 plus minus 5 multiplied by 1 plus minus 1 multiplied by 3. This row multiplied by this column results in this element. This row multiplied by this column gives out this element. This row multiplied by this column is equal to this element. Now, simplify we get X minus 2 minus 10 to X minus 8 matrix multiplied by X41 matrix is equal to 0. Now, we can see number of columns of first matrix is equal to 3 and the number of rows of second matrix is also equal to 3. So, their multiplication is defined as the number of columns of first matrix is equal to number of rows of second matrix. So, on multiplying this row with this column we get only one element that is equal to X multiplied by X minus 2 plus minus 10 multiplied by 4 plus 1 multiplied by 2 X minus 8. On simplifying we get X square minus 2X minus 40 plus 2X minus 8 is equal to 0. Therefore, we can write X square minus 48 is equal to 0 minus 2X and plus 2X will get cancelled. So, this implies X square minus 48 is equal to 0. This implies X square is equal to 48. Now, taking square root on both sides we get X is equal to plus minus under root 48 which further implies X is equal to plus minus 4 root 3. So, X is equal to plus minus 4 root 3 is the required answer. This completes the session. Hope you understood the session. Take care and goodbye.