In this tutorial we shall discuss a system of three linear equations in matrix form.
A System of Three Linear Equations
Consider the system of three equations of straight lines is given as
Equations (i), (ii) and (iii) are linear equations and three variables, and . can be written in matrix form as follows:
Equation (i) becomes
It can be further written as
Here is the coefficient matrix and is the 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.