Is the set of vectors
\[ \begin{bmatrix} 4 \\ -3 \\ 2 \\ -6 \end{bmatrix} \quad \begin{bmatrix} -5 \\ 4 \\ 6 \\ -6 \end{bmatrix} \quad \begin{bmatrix} 11 \\ -9 \\ -20 \\ 24 \end{bmatrix} \quad \]linearly independent?
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