Question

Solve the following non-homogeneous system of linear equations by determinant method.
$2x+y-z=4$
$x+y-2z=0$
$3x+2y-3z=4$

Answer 1

The determinant form of given equations is $\left|\begin{array}{ccc}2& 1& -1\\ 1& 1& -2\\ 3& 2& -3\end{array}\right|$ and the determinant value is $D=0$

Sice the value of $D$ is zero , we get infinite solutions