Question
If $A =\left[\begin{array}{cc}1 & 0 \\ -1 & 3\end{array}\right]$, apply the transformation $R _1 \leftrightarrow R _2$ on $A$.

Answer

$\begin{array}{l}\text{ As } A =\left[\begin{array}{cc}1 & 0 \\ -1 & 3\end{array}\right] \end{array} $
$ R _1 \leftrightarrow R _2$ gives 
$ A \sim\left[\begin{array}{cc}-1 & 3 \\ 1 & 0\end{array}\right]$

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