Write the System of Equations for Which the Given Matrix $$\left[ \begin{array} { c c c c } 0 & 2 & 6 & 3 \\1 & 0 & 0 & - 9 \\2 & 3 & 0 & 0\end{array} \right]$$

question 49

Multiple Choice

Write the system of equations for which the given matrix is the augmented matrix. $$\left[ \begin{array} { c c c c } 0 & 2 & 6 & 3 \\1 & 0 & 0 & - 9 \\2 & 3 & 0 & 0\end{array} \right]$$

• A) \(\left\{ \begin{aligned}
• y + 6 z & = 3 \\
• z & = - 9 \\
• 2 x - 3 y & = 0
• \end{aligned} \right.\)
• B) \(\left\{ \begin{aligned}
• 2 x + 6 z & = 3 \\
• x & = - 9 \\
• x + 3 y & = 0
• \end{aligned} \right.\)
• C) \(\left\{ \begin{aligned}
• 2 x + 6 z & = 3 \\
• z & = - 9 \\
• 2 y + 3 z & = 0
• \end{aligned} \right.\)
• D) \(\left\{ \begin{aligned}
• 2 y + 6 z & = 3 \\
• x & = - 9 \\
• 2 x + 3 y & = 0
• \end{aligned} \right.\)
• E)none

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