Write the Augmented Matrix for the System of Linear Equations $$\left\{ \begin{aligned}x - 3 y - 2 z & = - 2 \\4 y + 4 z & = 4 \\x + 4 z & = - 2\end{aligned} \right.$$

question 41

Multiple Choice

Write the augmented matrix for the system of linear equations. $$\left\{ \begin{aligned}x - 3 y - 2 z & = - 2 \\4 y + 4 z & = 4 \\x + 4 z & = - 2\end{aligned} \right.$$

• A) \(\left[ \begin{array} { c c c c c }
• 1 & - 3 & - 2 & \vdots & - 2 \\
• 0 & 4 & 4 & \vdots & 4 \\
• 1 & 4 & 0 & \vdots & - 2
• \end{array} \right]\)
• B) \(\left[ \begin{array} { c c c c c }
• 1 & - 3 & - 2 & \vdots & - 2 \\
• 4 & 44 & 0 & \vdots & 4 \\
• 1 & 4 & 0 & \vdots & - 2
• \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c c c }
• 1 & - 3 & - 2 & \vdots & - 2 \\
• 1 & 4 & 4 & \vdots & 4 \\
• 1 & 1 & 4 & \vdots & - 2
• \end{array} \right]\)
• D) \(\left[ \begin{array} { c c c c c }
• 1 & - 3 & - 2 & \vdots & - 2 \\
• & 4 & 4 & \vdots & 4 \\
• 1 & & 4 & \vdots & - 2
• \end{array} \right]\)
• E) \(\left[ \begin{array} { c c c c c }
• 1 & - 3 & - 2 & \vdots & - 2 \\
• 0 & 4 & 4 & \vdots & 4 \\
• 1 & 0 & 4 & \vdots & - 2
• \end{array} \right]\)

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