Answer
See answers below
Work Step by Step
$\begin{bmatrix}
3 & 2\\
1& -1
\end{bmatrix} \approx^1 \begin{bmatrix}
1 & -1\\
3 &2
\end{bmatrix} \approx^2 \begin{bmatrix}
1 & -1\\
0 &5
\end{bmatrix} \approx^3 \begin{bmatrix}
1 & -1\\
0 &1
\end{bmatrix} \approx^4 \begin{bmatrix}
1 & 0\\
0 &1
\end{bmatrix}$
Rank (A)= 2
The last matrix is in a row-echelon form.
$P_{12}$
$A_{12}(-3)$
$M_2(\frac{1}{5})$
$A_{21}(1)$
