Matrices And Determinants

$\left[\begin{array}{l}1 \\ 1 \\ 0\end{array}\right]+K\left[\begin{array}{c}3 \\ 1 \\ -2\end{array}\right] K \in \mathbf{R}$

$\left[\begin{array}{l}1 \\ 1 \\ 0\end{array}\right]+K\left[\begin{array}{c}1 \\ -2 \\ 3\end{array}\right], K \in \mathbf{R}$

$\left[\begin{array}{l}1 \\ 1 \\ 0\end{array}\right]+K\left[\begin{array}{c}-2 \\ 1 \\ 3\end{array}\right], K \in \mathbf{R}$

$\left[\begin{array}{c}1 \\ 0 \\ -1\end{array}\right]+K\left[\begin{array}{c}-2 \\ 1 \\ 3\end{array}\right], K \in \mathbf{R}$