Question
Use matrix method to solve the following system of equations:
x + y + z = 5
2 x + y – z = 2
2 x – y + z = 2
Solution
These equations can be written as
x + y + z = 5 ...(1)
2x + y – z = 2 ...(2)
2x – y + z = 2 ...(3)
These equations can be written as
Co-factors of the elements of first row of | A | are
x + y + z = 5 ...(1)
2x + y – z = 2 ...(2)
2x – y + z = 2 ...(3)
These equations can be written as
Co-factors of the elements of first row of | A | are
i.e. 0, –4, –4 respectively
Co-factors of the elements of second row of | A | are
i.e. – 2, – 1, 3 respectively
Co-factors of the elements of third row of | A | are
i.e. 2, 3 – 1 respectively.
