In this tutorial we shall discuss system of three linear equations in matrix form
A System of Three Linear Equations:
Consider the system of three equations of straight lines are given as
Equation (i), (ii) and (iii) are linear equations in three variables and can be written as in matrix form as follows:
Now equation (i) becomes
It can be further written as
Where is the coefficient matrix and is variable matrix.
We have already discussed that the three lines (i), (ii) and (iii) will be concurrent if
This shows that the given lines (i), (ii) and (iii) will be concurrent if the coefficient matrix is singular.