Question
Using matrices, following system of linear equations:
x – y + 2 z = 1
2 y – 3z = 1
3x – 2y + 4z = 2
Solution
The given equations are
x - y + 2z = 1
2y – 3z = 1
3x – 2y + 4z = 2
These equations can be written as
or 
Co-factors of the elements of first row of | A | are
i.e. 8 – 6, – (0 + 9), 0 – 6 i.e. 2, – 9, – 6 respectively.
Co-factors of the elements of second row of | A | are
i.e. – (– 4 + 4), 4 – 6, – (– 2 + 7) i.e. 0, – 2, – 1 respectively.
Co-factors of the elements of third row of | A | are
i.e. 3 – 4, – (– 3 – 0), 2+ 0 i.e. – 1, 3, 2 respectively.
