Question
Use matrix method to solve the following system of equations:
x + y + z = 6
x – y + z = 2
2x + y – z = 1
Solution
The given equations are
x + y + z = 6
x – y + z = 2
2x + y – z = 1
These equations can be written as
or 
Co-factors of the elements of first row of | A | are
Co-factors of the elements of second row of | A | are
i.e. 2, – 3, 1 respectively.
Co-factors of the elements of third row of | A | are
i.e. 2, 0, – 2 respectively.
