Answer
See answers below
Work Step by Step
$\begin{bmatrix}
0 & 1 &3\\
0 & 1 & 4 \\
0 &3 &5
\end{bmatrix} \approx^1\begin{bmatrix}
0 & 1 &3\\
0 & 0 & 1 \\
0 &3 &5
\end{bmatrix} \approx^2 \begin{bmatrix}
0 & 1 &3\\
0 & 0 & 1 \\
0 &0 &-4
\end{bmatrix} \approx^3 \begin{bmatrix}
0 & 1 &3\\
0 & 0 & 1 \\
0 &0&0
\end{bmatrix} $
Rank (A) =2
The rank of each matrix:
$A_{12}(-1)$
$A_{13}(-3)$
$$A_{23}(4)$$
