Question
Use matrix method to solve the following system of equations:
2x – y + z = 3
– x + 2y – z = – 4
x – y + 2z = 1
Solution
The given equations are
2x – y + z = 3
– x + 2y – z = – 4
x – y + 2z = 1
These equations can be written as
Co-factors of the elements of first row of | A | are
i.e. 3, 1, – 1 respectively.
Co-factors of the elements of second row of | A | are
i.e. 1, 3, 1 respectively.
Co-factors of the elements of third row of | A | are