Use the Matrix Capabilities of a Graphing Utility to Solve $\left\{ \begin{aligned}- 16 x + 16 y + 24 z & = 2 \\8 x - 8 y & = - 1 \\8 y + 32 z & = 5\end{aligned} \right.$

Multiple Choice

Use the matrix capabilities of a graphing utility to solve the following system of linear equations: $\left\{ \begin{aligned}- 16 x + 16 y + 24 z & = 2 \\8 x - 8 y & = - 1 \\8 y + 32 z & = 5\end{aligned} \right.$

A) $\left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } \frac { 1 } { 4 } \\0 \\- \frac { 3 } { 8 }\end{array} \right]$
B) $\left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } \frac { 3 } { 8 } \\\\- \frac { 1 } { 4 } \\\\\frac { 1 } { 4 }\end{array} \right]$
C) $\left[ \begin{array} { c } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } - \frac { 3 } { 8 } \\\\\frac { 1 } { 4 } \\\\\frac { 1 } { 8 }\end{array} \right]$
D) $\left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } \frac { 1 } { 8 } \\\\- \frac { 1 } { 2 } \\\\\frac { 1 } { 4 }\end{array} \right]$
E) $\left[ \begin{array} { c } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } \frac { 1 } { 2 } \\\\\frac { 5 } { 8 } \\\\0\end{array} \right]$