Is the set of vectors
\[ \begin{bmatrix} -3 \\ -8 \\ 5 \\ 3 \end{bmatrix} \quad \begin{bmatrix} -1 \\ -7 \\ 4 \\ -4 \end{bmatrix} \quad \begin{bmatrix} -16 \\ -47 \\ 29 \\ 11 \end{bmatrix} \quad \]linearly independent?
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