Determine if the following vectors are linearly independent
(a) [2 2 4], [1 6 6], [3 6 3].
(b) $\begin{bmatrix} 1 \ 2 \ 3 \end{bmatrix}$, $\begin{bmatrix} 2 \ 3 \ 1 \end{bmatrix}$, $\begin{bmatrix} 3 \ 1 \ 1 \end{bmatrix}$, $\begin{bmatrix} 1 \ 1 \ 2 \end{bmatrix}$.
(c) $\begin{bmatrix} 1 \ 2 \ 3 \ 1 \end{bmatrix}$, $\begin{bmatrix} 2 \ 3 \ 1 \ 1 \end{bmatrix}$, $\begin{bmatrix} 3 \ 1 \ 1 \ 2 \end{bmatrix}$, $\begin{bmatrix} 1 \ 1 \ 2 \ 3 \end{bmatrix}$.