 Hi, and welcome to the session. Today we will discuss the following question which says, find the value of x and y if 2 into a 2 by 2 matrix whose elements are 1, 3, 0, x plus another 2 by 2 matrix whose elements are y, 0, 1, 2 is equal to a 2 by 2 matrix with elements 5, 6, 1, 8. Let's see its solution. We need to find the values of x and y and we are given 2 into 2 by 2 matrix with elements 1, 3, 0, x plus 2 by 2 matrix with elements y, 0, 1, 2 is equal to a 2 by 2 matrix with elements 5, 6, 1, 8. Now whenever we multiply a scalar with a matrix then each element of that matrix is multiplied by that scalar. So here to multiply scalar 2 with the given matrix we will multiply each element of this matrix by the scalar 2. So this implies 2 by 2 matrix whose elements will be 2 into 1 that is 2, 2 into 3 that is 6, 2 into 0 that is 0 and 2 into x that is 2x plus 2 by 2 matrix with elements y, 0, 1, 2 is equal to 2 by 2 matrix with elements 5, 6, 1, 8. Now we need to add these 2 matrices and the sum of 2 matrices is obtained by adding the corresponding elements of the 2 matrices. But the 2 matrices should be of same value. So here we will get a 2 by 2 matrix whose elements will be 2 plus y, 6 plus 0 that is 6, 0 plus 1 that is 1 and 2x plus 2. So this will be equal to a 2 by 2 matrix with elements 5, 6, 1, 8. Now if 2 matrices are equal then their corresponding elements will be equal. So here this implies that 2 plus y will be equal to 5, 6 is equal to 1 which is very clear and 2x plus 2 will be equal to 8. So 2 plus y is equal to 5 implies that y is equal to 3 and 2x plus 2 is equal to 8 implies that x is equal to 3. Thus the value of x is 3 and the value of y is also 3. So this is the required answer to this question. With this we finish this session. Hope you must have understood the question. Goodbye, take care and have a nice day.