##### Exercise5

For each of the following conditions, construct a $$3\times 3$$ matrix having the given properties.

1. $$\dim~\nul(A) = 0\text{.}$$

2. $$\dim~\nul(A) = 1\text{.}$$

3. $$\dim~\nul(A) = 2\text{.}$$

4. $$\dim~\nul(A) = 3\text{.}$$

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