Question
Use matrix method to solve the following system of equations:
x – y = 5
y + z = 3
z + x = 4
Solution
The given equations are
x + y + 0z = 5
0x + y + z = 3
x + 0y + z = 4
These equations can be written as
or 
Co-factors of the elements of first row of |A| are
i.e., 1, 1, – 1 respectively
Co-factors of the elements of second row of |A| are
i.e. – 1, 1, 1 respectively
Co-factors of the elements of third row of | A | are
i.e., 1, – 1, 1 respectively
