Use the Gauss-Jordan Method to Solve the System of Equations $\begin{array} { l } 2 x - 2 y + 3 z = - 3 \\x + 2 y - z = 9 \\2 y + z = - 1\end{array}$

question 332

Multiple Choice

Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, let the last variable be the arbitrary variable.
$\begin{array} { l } 2 x - 2 y + 3 z = - 3 \\x + 2 y - z = 9 \\2 y + z = - 1\end{array}$

• A) \(\{ ( 4,1 , - 3 ) \}\)
• B) \(\varnothing\)
• C) \(\{ ( 6,8 , - 7 ) \}\)
• D) \(\{ ( - 4,1,13 ) \}\)

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