Is the set of vectors
\[ \begin{bmatrix} 5 \\ -12 \\ -2 \\ -6 \end{bmatrix} \quad \begin{bmatrix} 7 \\ -10 \\ -2 \\ -3 \end{bmatrix} \quad \begin{bmatrix} 15 \\ -2 \\ -2 \\ 9 \end{bmatrix} \quad \]linearly independent?
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