$\"\"$

The system of equations are

$\"\"$

Write the equations into matrix form $\"\"$ ,

where $\"\"$ is coefficient matrix, $\"\"$ is variable matrix and $\"\"$ is constant matrix.

$\"\"$

Definition of inverse matrix :

If $\"\"$ is an $\"\"$ then $\"\"$ , where $\"\"$ .

Let $\"\"$ , then $\"\"$ .

$\"\"$

As $\"\"$ , then an inverse does not exist.

The system is inconsistent.

$\"\"$

The system is inconsistent.