 Hello and welcome to the session. In this session we will discuss a question which says that if you use a matrix with elements in first row as 1-3, elements in second row as 2-3 and elements in third row as minus 1-5, we use a matrix with elements in first row as minus 3-0-1 and elements in second row as then find UV that is product of the two matrices U and V. Now before starting the solution of this question, we should know a result and that is defined when number of columns of matrix A is equal to number of columns of matrix B. Now this result will work out as a key idea for solving out the given question. Now let us start with the solution of the given question. Now let UV, now we are given matrix U and you can see matrix U has dimension of number of columns of matrix U is equal to number of rows of matrix V and from the key ideas of matrix A is equal to number of rows of matrix B of matrix U is equal to number of rows of matrix V UV that is product of two matrices U and V. Now here the resultant matrix will be of the elements of the resultant matrix will be obtained by matrix U then which column of the matrix V and then of matrix V run into minus 3 of matrix U and of matrix V into 0 into minus 5 of matrix V the resultant matrix that is the product matrix we take of matrix U into minus 3 of matrix U matrix V we have 2 into 0 into minus 5 second row of matrix U and of matrix V we have 2 into 1 plus 4 into we take of matrix V minus 1 into minus 3 and we take third row of matrix we have minus 1 into 0 into minus 5 and then we take of matrix U and third column of matrix V and we have minus 1 into 1 a matrix with elements in first row as minus 3 minus 6 0 and 1 minus 0 minus 20 a matrix with elements in first row as third row as 13 hope you all have enjoyed the session.