Answer
See answers below
Work Step by Step
$\begin{bmatrix}
3 & 5 &-2\\
2 & 3 & -7\\
-2 & -1 & 1
\end{bmatrix} \approx^1\begin{bmatrix}
1 & 2 &-5\\
0 & -1 & 3\\
0 & 3& -9
\end{bmatrix} \approx^2 \begin{bmatrix}
1 & 2 &-5\\
0 & 1 & -3\\
0 & 3& -9
\end{bmatrix} \approx^3 \begin{bmatrix}
1 & 0 &1\\
0 & 1 & -3\\
0 & 0&0
\end{bmatrix}$
Rank (A)= 2
The last matrix is in a row-echelon form.
$A_{21}(-1),A_{12}(-2),A_{13}(2)$
$M_2(-1)$
$A_{21}(-2),A_{23}(-3)$