##### Exercise9

Consider the matrix

\begin{equation*} A = \left[\begin{array}{rrr} 0 \amp 1 \amp x \\ 2 \amp 2 \amp y \\ -1 \amp 0 \amp z \\ \end{array}\right] \text{.} \end{equation*}Write the equation \(\det A = 0\) in terms of \(x\text{,}\) \(y\text{,}\) and \(z\text{.}\)

Explain why \(\vvec_1\) and \(\vvec_2\text{,}\) the first two columns of \(A\text{,}\) satisfy the equation you found in the previous part.