Answer
The expression is
$ X=\left\{ \left( 1,2,-1 \right) \right\}$
Work Step by Step
Consider the given system of equations:
$\begin{align}
& 3x-2y+z=-2 \\
& 4x-5y+3z=-9 \\
& 2x-y+5z=-5
\end{align}$
The linear system can be written as: $ AX=B $
$\left[ \begin{matrix}
3 & -2 & 1 \\
4 & -5 & 3 \\
2 & -1 & 5 \\
\end{matrix} \right]\left[ \begin{matrix}
x \\
y \\
z \\
\end{matrix} \right]=\left[ \begin{matrix}
-2 \\
-9 \\
-5 \\
\end{matrix} \right]$
The solution is given by $ X={{A}^{-1}}B $; consequently, we must find ${{A}^{-1}}B $ by using a graphic calculator. We will follow the steps given below:
(1) Select the matrix $ A $ from the matrix edit menu and then enter or accept the dimensions. Next, select the matrix $ B $ and enter the elements in the matrix.
(2) Use ${{2}^{nd}}$ and press the matrix button.
(3) Select the matrix $ A $ and use the enter button and then use the function ${{X}^{-1}}$ for multiplication of the matrix.
(4) Then use the ${{2}^{nd}}$ button and press the matrix button or select matrix $ B $ and press the enter button.
(5) Press the enter button to get the value of ${{A}^{-1}}B $. Therefore, $ X=\left[ \begin{align}
& 1 \\
& 2 \\
& -1 \\
\end{align} \right]$
