###### Exercise2

Suppose that

\begin{equation*} A = \left[\begin{array}{rrrr} 2 \amp 0 \amp -2 \amp -4 \\ -2 \amp -1 \amp 1 \amp 2 \\ 0 \amp -1 \amp -1 \amp -2 \end{array}\right]\text{.} \end{equation*}
1. Is the vector $$\threevec{0}{-1}{-1}$$ in $$\col(A)\text{?}$$

2. Is the vector $$\fourvec{2}{1}{0}{2}$$ in $$\col(A)\text{?}$$

3. Is the vector $$\threevec{2}{-2}{0}$$ in $$\nul(A)\text{?}$$

4. Is the vector $$\fourvec{1}{-1}{3}{-1}$$ in $$\nul(A)\text{?}$$

5. Is the vector $$\fourvec{1}{0}{1}{-1}$$ in $$\nul(A)\text{?}$$

in-context