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Write the system of linear equations $\left\lbrace \begin{array}{rcr} -6 x + 1 y - 6 z & = & 2 \\ 5 x + 9 y + 1 z & = & -2 \\ -5 x + 4 y - 2 z & = & 4 \end{array} \right.$ as a matrix equation.

$\left[\Rule{0pt}{3.6em}{0pt}\right.$ $\left]\Rule{0pt}{3.6em}{0pt}\right.$ $\left\lbrack \begin{array}{r} x \\ y \\ z \end{array} \right\rbrack =$ $\left[\Rule{0pt}{3.6em}{0pt}\right.$ $\left]\Rule{0pt}{3.6em}{0pt}\right.$

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