Which of the following matrices can NOT be obtained from the matrix $\left[\begin{array}{cc}-1 & 2 \\ 1 & -1\end{array}\right]$ by a single elementary row operation ?

Question

$\left[\begin{array}{cc}0 & 1 \\ 1 & -1\end{array}\right]$

$\left[\begin{array}{cc}1 & -1 \\ -1 & 2\end{array}\right]$

$\left[\begin{array}{rr}-1 & 2 \\ -2 & 7\end{array}\right]$

$\left[\begin{array}{ll}-1 & 2 \\ -1 & 3\end{array}\right]$

Solution

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