 Hello and welcome to the session. In this session, we are going to discuss the following question and the question says that, if matrix A is equal to 3 by 3 matrix containing elements minus 7, 9, 1, 1, minus 3, 2, 2, 0, minus 8, matrix B is equal to 3 by 3 matrix containing elements 4, 8, 5, minus 2, minus 7, 1, 9, minus 6, minus 8, find 2 into matrix A minus of 3 into matrix B. Now let us start with the solution of this question. Here we are given matrices A and B and we have to find the value of the expression 2 into matrix A minus of 3 into matrix B. So first we shall find the value of 2 into matrix A which is given by 2 into matrix A that is 3 by 3 matrix containing elements minus 7, 9, 1, 1, minus 3, 2, 2, 0, minus 8 that is we multiply each element of matrix A with scalar 2 and we get 2 into matrix A is equal to 3 by 3 matrix containing elements 2 into minus 7, 2 into 9, 2 into 1, 2 into 1, 2 into minus 3, 2 into 2, 2 into 2, 2 into 0, 2 into minus 8 which is equal to the 3 by 3 matrix containing elements 2 into minus 7 is minus 14, 2 into 9 that is 18, 2 into 1 that is 2, 2 into 1 that is 2, 2 into minus 3 which is minus 6, 2 into 2 that is 4, 2 into 2 that is 4, 2 into 0 is 0 and 2 into minus 8 is minus of 16. Similarly we shall find the value of 3 into matrix B which is equal to 3 into 3 by 3 matrix containing elements 4, 8, 5, minus 2, minus 7, 1, 9, minus 6, minus 8. Now we multiply each element of matrix B with scalar 3 and we get 3 into matrix B is equal to 3 by 3 matrix containing elements 3 into 4, 3 into 8, 3 into 5, 3 into minus 2, 3 into minus 7, 3 into 1, 3 into 9, 3 into minus 6, 3 into minus 8 and this is equal to 3 by 3 matrix containing elements 3 into 4 is 12, 3 into 8 is 24, 3 into 5 is 15, 3 into minus 2 is minus 6, 3 into minus 7 is minus 21, 3 into 1 is 3, 3 into 9 that is 27, 3 into minus 6 is minus 18, 3 into minus 8 is minus 24. Thus we have got the value of 2 into matrix A as 3 by 3 matrix containing elements minus 14, 18, 2, 2 minus 6, 4, 4, 0, minus 16 and 3 into matrix B is given by the 3 by 3 matrix containing elements 12, 24, 15, minus 6, minus 21, 3, 27, minus 18, minus 24. So 2 into matrix A minus of 3 into matrix B will be equal to 3 by 3 matrix containing elements minus 14, 18, 2, 2 minus 6, 4, 4, 0, minus 16, minus of 3 by 3 matrix containing elements 12, 24, 15, minus 6, minus 21, 3, 27, minus 18, minus 24. On solving it further we get a 3 by 3 matrix containing elements minus 14, minus 12, 18, minus 24, 2, minus 15, 2, minus of minus 6, minus 6, minus of minus 21, 4, minus 3, 4, minus 27, 0, minus of minus 18, minus 16, minus of minus 24 and this is equal to a 3 by 3 matrix containing elements minus of 14, minus of 12, that is minus of 26, 18 minus 24, that is minus 6, 2 minus of 15 is minus of 13, 2 minus of minus 6 is equal to 2 plus 6, that is 8, minus of 6, minus of minus 21 is minus 6 plus 21 and is equal to 15, 4 minus 3 is 1, now 4 minus 27 is minus of 23, 0 minus of minus 18 is 18, minus 16, minus of minus 24, that is minus 16 plus 24 is equal to 8, so we get the value of the expression 2 into matrix A minus 3 into matrix B as the 3 by 3 matrix containing elements minus 26, minus 6, minus 13, 8, 15, 1, minus 23, 18, 8 which is the required answer. This completes our session. Hope you enjoyed this session.