 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that solve A plus the matrix containing elements 5 minus 276 is equal to the matrix containing elements minus 35144 for the 2 by 2 matrix A. If the matrix equation is of the form x plus p equal to q for x unknown we add matrix minus p on both sides of the equation and we get x plus p minus p equal to q minus p which implies x is equal to q minus p. With this key idea let us proceed with the solution. Consider the given matrix equation that is A plus matrix containing elements 5 minus 276 is equal to the matrix containing elements minus 3514 and 4. Here let p be equal to the matrix containing elements 5 minus 276 and q be equal to the matrix containing elements minus 35144 then minus p will be equal to minus of the matrix containing elements 57 minus 26 which will be equal to the matrix containing elements minus 52 minus 7 minus 6. So now adding matrix minus p on both sides of the equation we have matrix containing elements 5 minus 276 which is p plus matrix containing elements minus 52 minus 7 minus 6 which is minus p is equal to matrix containing elements minus 35144 which is q plus matrix containing elements minus 52 minus 7 minus 6 which is minus p as 5 minus 5 is 0, 7 minus 7 is 0, minus 2 plus 2 is 0 and 6 minus 6 is 0. So we have A plus the null matrix or the 0 matrix is equal to the matrix containing elements minus 3 minus 5, 14 minus 7, 5 plus 2 and 4 minus 6. This implies A is equal to the matrix containing elements minus 8, 7, 7 minus 2 which is our answer. This completes our session. Hope you enjoyed this session.