Can we interchange one row and one column in a determinant? Can we swap the ith row and the ith coloumn in a determinant as an elementary operation? What happens when we do interchange them? Does the value of the determinant remain constant or does it change?

Let's take an example as simple as possible:
$\begin{vmatrix}0&1&0 \\ 0&0&1 \\ 1&0&0\end{vmatrix} = 1$
Now, switching the first row with the first column we would get:
$\begin{vmatrix}0&0&1 \\ 1&0&1 \\ 0&0&0\end{vmatrix} = 0$
No, this transformation doesn't preserve the value of the determinant.
