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Write the Augmented Matrix for the System 2x+3y+3z=376x+4y+3z=277x2y2z=36\begin{array} { l } - 2 x + 3 y + 3 z = 37 \\6 x + 4 y + 3 z = 27 \\7 x - 2 y - 2 z = - 36\end{array}

Question 345

Multiple Choice

Write the augmented matrix for the system. Do not solve the system.
- 2x+3y+3z=376x+4y+3z=277x2y2z=36\begin{array} { l } - 2 x + 3 y + 3 z = 37 \\6 x + 4 y + 3 z = 27 \\7 x - 2 y - 2 z = - 36\end{array}


A)
[233643722]\left[ \begin{array} { r r r } - 2 & 3 & 3 \\6 & 4 & 3 \\7 & - 2 & - 2\end{array} \right]
B)
[233376432772236]\left[ \begin{array} { r r r | r } - 2 & 3 & 3 & 37 \\6 & 4 & 3 & 27 \\7 & - 2 & - 2 & - 36\end{array} \right]
C)
[373722734636227]\left[ \begin{array} { r r r | r } 37 & 3 & 7 & - 2 \\27 & 3 & 4 & 6 \\- 36 & - 2 & - 2 & 7\end{array} \right]
D)
[267373422733236]\left[ \begin{array} { r r r | r } - 2 & 6 & 7 & 37 \\3 & 4 & - 2 & 27 \\3 & 3 & - 2 & - 36\end{array} \right]

Correct Answer:

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