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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