Exercise5

Suppose that

\begin{equation*} A=\left[\begin{array}{rrr} 1 \amp 0 \amp 2 \\ 2 \amp 2 \amp 2 \\ -1 \amp -3 \amp 1 \end{array}\right] \text{.} \end{equation*}
1. Describe the solution space to the equation $$A\xvec = \zerovec\text{.}$$

2. Find a $$3\times2$$ matrix $$B$$ with no zero entries such that $$AB = 0\text{.}$$

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