Let \(T:\mathbb{R}^5\rightarrow \mathbb{R}\) be a linear transformation given by \(\begin{bmatrix} 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 & 0 \end{bmatrix}\begin{bmatrix}x_1\\x_2\\x_3\\x_4\\x_5\end{bmatrix}\). If \(T\) is applied to both sides of \(Ax = b\) representing a system of 5 linear questions, the result is the same as
Swapping rows 2 and 3 and then swapping rows 3 and 5.
Swapping rows 2 and 3 and then swapping rows 2 and 5.
Swapping rows 3 and 5 and then swapping rows 2 and 3.