Answer
See answers below
Work Step by Step
$\begin{bmatrix}
4 & 7 & 4 & 7\\
3 & 5 & 3 & 5\\
2 & -2 & 2 & -2\\
5 & -2 & 5 & -2
\end{bmatrix} \approx^1 \begin{bmatrix}
1 & 2& 1 & 2\\
3 & 5 & 3 & 5\\
2 & -2 & 2 & -2\\
5 & -2 & 5 & -2
\end{bmatrix} \approx^2\begin{bmatrix}
1 & 2& 1 & 2\\
0& -1 & 0 & -1\\
0 & -6 & 0& -6\\
0 & -12 & 0& -12
\end{bmatrix} \approx^3\begin{bmatrix}
1 & 2& 1 & 2\\
0& 1 & 0 & 1\\
0 & -6 & 0& -6\\
0 & -12 & 0& -12
\end{bmatrix} \approx^4\begin{bmatrix}
1 & 2& 1 & 2\\
0& 1 & 0 & 1\\
0 & 0 & 0& 0\\
0 & 0 & 0& 0
\end{bmatrix} $
Rank (A)= 2
$A_{21}(-1)
$A_{12}(-3),A_{13}(-2), A_{14}(-5)$
$M_2(-1)$
$A_{23}(6),A_{24}(12)$
