(Solved): Construct a \( 3 \times 3 \) matrix whose column space contains \( \left[\begin{array}{l}1 \\ 1 \\ ...

Construct a \( 3 \times 3 \) matrix whose column space contains \( \left[\begin{array}{l}1 \\ 1 \\ 5\end{array}\right] \) and \( \left[\begin{array}{l}0 \\ 3 \\ 1\end{array}\right] \) and whose null space contains \( \left[\begin{array}{l}1 \\ 1 \\ 2\end{array}\right] \)