##### Exercise6

Suppose that $$A$$ is a $$3\times 4$$ matrix.

1. Is it possible that $$\dim~\nul(A) = 0\text{?}$$

2. If $$\dim~\nul(A) = 1\text{,}$$ what can you say about $$\col(A)\text{?}$$

3. If $$\dim~\nul(A) = 2\text{,}$$ what can you say about $$\col(A)\text{?}$$

4. If $$\dim~\nul(A) = 3\text{,}$$ what can you say about $$\col(A)\text{?}$$

5. If $$\dim~\nul(A) = 4\text{,}$$ what can you say about $$\col(A)\text{?}$$

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