 Hi and welcome to the session. Let's start the question. Find the values of x, y and z from the following equations of 3 by 1 matrix whose elements are x plus y plus z, x plus z, y plus z which is equal to the matrix whose elements are 9, 5, 7. Let's start the solution. Here we will use a property of equal matrices which says that if two matrices are equal then their corresponding parts must be equal. So by equality of two matrices equating the corresponding elements we get x plus y plus z is equal to 9. Let us take it as a plus z is equal to 5. Let us take it as b, y plus z is equal to 7. Let us take it as c. Now we will solve this equation. Substitute the value of y plus z from c in a we get x plus 7 is equal to 9 which implies x is equal to 2. Now substitute the value of x plus z from b to a we get y plus 5 is equal to 9 which implies y is equal to 4. Substitute the value of x and y in a we get 2 plus 4 plus z is equal to 9, 6 plus z is equal to 9 which implies y, z is equal to 3. Hence x is equal to 2, y is equal to 4, z is equal to 3 is our answer. Hope you have enjoyed the session. Go keep and bye. Take care.