 Hi. Welcome to the session. I am Deepika here. Let's discuss the question. Construct our 2 by 2 matrix. A is equal to aij whose elements are given by Part 1 aij is equal to i plus j whole square upon 2. Part 2 aij is equal to i upon j. Part 3 aij is equal to i plus 2j whole square is upon 2. Now let's start the solution. Part 1 aij is equal to i plus j whole square upon 2. Let's start the solution. In general, a 2 by 2 matrix is given by a is equal to a11, a12, a21, a22. Now aij is equal to i plus j whole square upon 2 where i is equal to 1 and 2 and j is also equal to 1 and 2. Therefore for a11 we will put i is equal to 1 and j is equal to 1 that is a11 is equal to 1 plus 1 whole square upon 2 which is equal to 2. Now for a12 we will put i is equal to 1 and j is equal to 2 that is a12 is equal to 1 plus 2 whole square upon 2 which is equal to 9 by 2. Now for a21 we will put i is equal to 2 and j is equal to 1 that is a21 is equal to 2 plus 1 whole square upon 2 which is equal to 9 by 2. And for a22 we will put i is equal to 2 and j is equal to 2 we get a22 is equal to 2 plus 2 whole square upon 2 which is equal to 8. Hence the required matrix is given by a is equal to 2, 9 by 2, 9 by 2, 8. This is our answer for the part 1. Let's move to the part 2. Part 2, aij is equal to i upon j solution. In general a2 by 2 matrix is given by a is equal to a11, a12, a21, a22. Now aij is i upon j therefore a11 is equal to 1 upon 1 which is equal to 1, a12 is equal to 1 upon 2, a21 is equal to 2 upon 1 which is equal to 2, a22 is equal to 2 upon 2 which is equal to 1. Hence the required matrix is given by a is equal to 1, 1 by 2, 2, 1. This is the answer for this part. Now let's move to the third part. Part 3, aij is equal to i plus 2j whole square upon 2. In general 2 by 2 matrix is given by is equal to a11, a12, a21, a22. Now aij is equal to i plus 2j whole square upon 2. Now for a11 we will put i is equal to 1 and j is equal to 1 that is 1 plus 2 into 1 whole square upon 2 which is equal to 9 by 2. Now for a12 we will put i is equal to 1 and j is equal to 2 that is a12 is equal to 1 plus 2 into 2 whole square upon 2 which is equal to 25 upon 2. Now for a21 we have 2 plus 2 into 1 whole square upon 2 which is equal to 8. Now for a22 we have 2 plus 2 into 2 whole square upon 2 which is equal to 18. Hence the required matrix is given by a is equal to 9 by 2, 25 by 2, 8, 18. This is the answer for this part. Hope you have enjoyed the session. Bye and take care.