Question
Apply the given elementary transformation on each of the following matrices : $\left[\begin{array}{cc}2 & 4 \\ 1 & -5\end{array}\right], C _1 \leftrightarrow C _2$

Answer

Let $B=\left(\begin{array}{rr}2 & 4 \\ 1 & -5\end{array}\right)$
By $C_1 \leftrightarrow C_2$, we get
$
B \sim\left(\begin{array}{rr}
4 & 2 \\
-5 & 1
\end{array}\right) .
$

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