Given set of equations is :
This set of equation in the form of matrix is 
![\left[\begin{array}{ccc}1 & -1 & 2 \\ 3 & 4 & -5 \\ 2 & -1 & 3\end{array}\right]\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{c}7 \\ -5 \\ 12\end{array}\right]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-c251943333cfe47148d90f6e161fd436_l3.png "Rendered by QuickLaTeX.com")
Where
Where,
![A=\left[\begin{array}{ccc}1 & -1 & 2 \\ 3 & 4 & -5 \\ 2 & -1 & 3\end{array}\right]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-1a2b056c0d52f027166ff1c3d1462141_l3.png "Rendered by QuickLaTeX.com")
System is consistent.
So,
Therefore, 
Solve system of linear equations, using matrix method, in
Given set of equations is :
This set of equation in the form of matrix is
Where
Where,
System is consistent.
So,
Therefore,
