Chapter 3.6, Problem 1E

For each of the following matrices, find a basis for the row space, a basis for the column space, and a basis for the null space.

1. $\left(\begin{array}{ccc}1& 3& 2\\ 2& 1& 4\\ 4& 7& 8\end{array}\right)$
2. $\left(\begin{array}{cccc}-3& 1& 3& 4\\ 1& 2& -1& -2\\ -3& 8& 4& 2\end{array}\right)$
3. $\left(\begin{array}{cccc}1& 3& -2& 1\\ 2& 1& 3& 2\\ 3& 4& 5& 6\end{array}\right)$