##### 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*}
1. Write the equation $$\det A = 0$$ in terms of $$x\text{,}$$ $$y\text{,}$$ and $$z\text{.}$$

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

in-context