 Hi and welcome to the session. I am Shashi and I am going to help you to solve the following question. Question is, using elementary transformations, find the inverse of each of the matrices if it exists. The given matrix is 2174. Let us start with the solution now. First of all, let us assume A is equal to matrix 2174. Now, we will use row transformation method to find A inverse. So, we will write A is equal to IA or we can write matrix 2174 is equal to matrix 1001 multiplied by A. Now, we will apply the sequence of row operations simultaneously on the matrix A on the left hand side and the matrix I on the right hand side. Till we obtain the identity matrix on the left hand side. Now, to make this element equal to 1, we will apply on R1 row operation 1 upon 2 R1. So, we can write applying on R1 row operation 1 upon 2 R1. Now, we get 1 upon 2 74 is equal to matrix 1 upon 2 001 multiplied by A. Now, to make this element equal to 0, we will apply on R2 row operation R2 minus 7 R1. So, we can write applying on R2 row operation R2 minus 7 R1. We get the matrix 1 upon 2 0 1 upon 2 is equal to matrix 1 upon 2 0 minus 7 upon 2 1 multiplied by A. Now, we know the identity matrix has the diagonal elements equal to 1 and all other elements equal to 0. So, now we will create 1 here as this is a diagonal element. So, applying on R2 2 R2 we get matrix 1 1 upon 2 0 1 is equal to matrix 1 upon 2 0 minus 7 2 multiplied by A. Now, to make this element equal to 0, we will apply on R1 row operation R1 minus 1 upon 2 R2. So, we can write R1 row operation R1 minus 1 upon 2 R2 we get matrix 1 0 0 1 is equal to matrix 4 minus 1 minus 7 2 multiplied by A. Now, we can write I is equal to A inverse multiplied by A. We can see clearly that this is our identity matrix. Now, comparing the two expressions we get A inverse is equal to this matrix. So, we can write A inverse is equal to matrix 4 minus 1 minus 7 2. So, our required answer is given by the matrix 4 minus 1 minus 7 2. This completes the session. Hope you enjoyed the session. Goodbye.