Given the following matrix \(A\) and its rref, find bases fo…

Given the following matrix \(A\) and its rref, find bases for \(\text{row}\left(A\right), \text{col}\left(A\right),\) and \(\text{null}\left(A\right)\). Also, state the rank and nullity of \(A\). \[A=\begin{bmatrix}2&1&-1&0&3&8&3\\3&1&-3&3&-8&19&7\\-1&1&5&-2&8&-11&-2\\-1&1&5&1&1&20&6\end{bmatrix}\] \[\text{rref}\left(A\right)=\begin{bmatrix}1&0&-2&0&1&5&1\\0&1&3&0&1&-2&1\\0&0&0&1&-4&2&1\\0&0&0&0&0&0&0\end{bmatrix}\]