Use the Gauss-Jordan Method to Solve the System of Equations $\begin{array} { l } x - y + 2 z + w = 1 \\y + z = 4 \\z - w = 1\end{array}$

question 310

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.
$\begin{array} { l } x - y + 2 z + w = 1 \\y + z = 4 \\z - w = 1\end{array}$

• A) \(\{ ( 2,3,1 , w ) \}\)
• B) \(\{ ( - 2,2,2,1 ) \}\)
• C) \(\phi\)
• D) \(\{ ( 2 - 4 w , 3 - w , 1 + w , w ) \}\)

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