Example RSREM Row spaces of two row-equivalent matrices

In Example TREM we saw that the matrices \begin{align*} A&=\begin{bmatrix} 2&-1&3&4\\ 5&2&-2&3\\ 1&1&0&6 \end{bmatrix} & B&=\begin{bmatrix} 1&1&0&6\\ 3&0&-2&-9\\ 2&-1&3&4 \end{bmatrix} \end{align*} are row-equivalent by demonstrating a sequence of two row operations that converted $A$ into $B$. Applying Theorem REMRS we can say \begin{equation*} \rsp{A}= \spn{\set{\colvector{2\\-1\\3\\4},\,\colvector{5\\2\\-2\\3},\,\colvector{1\\1\\0\\6}}}= \spn{\set{\colvector{1\\1\\0\\6},\,\colvector{3\\0\\-2\\-9},\,\colvector{2\\-1\\3\\4}}} =\rsp{B} \end{equation*}