(Solved): Find bases for the four subspaces associated with A and B : A=[112233]andB=[1123 ...

Find bases for the four subspaces associated with $A$ and $B$ : $A=\left[\begin{array}{lll}1& 2& 3\\ 1& 2& 3\end{array}\right]\text{ and }B=\left[\begin{array}{lll}1& 2& 3\\ 1& 3& 3\end{array}\right]$ In each question, I am giving three blank vectors for the basis, because I don't want to tell you how many vectors are in them! Only use as many as you need, and put zeros in all the vectors that you don't need. If the space in question contains only the zero vector, put zeros in all the vectors. (This is pedagogically bad because it is not correct that the basis contains the zero vector, but Webwork won't allow the answers to be left blank.) Basis for $C\left(A^T\right)$, the row space of $A$ : Basis for $C(A)$, the column space of $A$ : Basis for $C(A)$, the column space of $A$ : $\left[\begin{array}{l}1\\ 1\end{array}\right]$, $\left[\begin{array}{l}2\\ 2\end{array}\right]?\left[\begin{array}{l}3\\ 3\end{array}\right]$ Basis for $N(A)$, the nullspace of $A$ : Basis for $N\left(A^T\right)$, the left nullspace of $A$ $\text{ [], }]$ Basis for $C\left(B^T\right)$, the row space of $B$ : $?\begin{array}{l}1\\ 0\\ 3\end{array}?$ $?\begin{array}{l}0\\ 0\\ 1\end{array}?,\left[\begin{array}{l}0\\ 0\end{array}\right]$ Basis for $C\left(B^T\right)$, the row space of $B$ $?\begin{array}{l}1\\ 0\\ 3\end{array}?$ Basis for $C(B)$, the column space of $B$ : $[],[]$ Basis for $N(B)$, the nullspace of $B$ : Basis for $N\left(B^{T^3}\right)$, the left nullspace of $B$ : [] ,