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Write the Augmented Matrix for the System of Linear Equations {x+4y−z=−9−9y+4z=−6x+5z=−4\left\{ \begin{aligned}x + 4 y - z & = - 9 \\- 9 y + 4 z & = - 6 \\x + 5 z & = - 4\end{aligned} \right.

Question 80

Multiple Choice

Write the augmented matrix for the system of linear equations.
{x+4y−z=−9−9y+4z=−6x+5z=−4\left\{ \begin{aligned}x + 4 y - z & = - 9 \\- 9 y + 4 z & = - 6 \\x + 5 z & = - 4\end{aligned} \right.


A)
[14−1−91−94−6115−4]\left[ \begin{array} { c c c : c } 1 & 4 & - 1 & - 9 \\ 1 & - 9 & 4 & - 6 \\ 1 & 1 & 5 & - 4 \end{array} \right]
B)
[14−1−90−94−6105−4]\left[ \begin{array} { c c c : c } 1 & 4 & - 1 & - 9 \\ 0 & - 9 & 4 & - 6 \\ 1 & 0 & 5 & - 4 \end{array} \right]
C) [14−1−9−94−615−4]\left[ \begin{array} { c c c : c } 1 & 4 & - 1 & - 9 \\ & - 9 & 4 & - 6 \\ 1 & & 5 & - 4 \end{array} \right]
D) [14−1−9−940−6150−4]\left[ \begin{array} { c c c : c } 1 & 4 & - 1 & - 9 \\ - 9 & 4 & 0 & - 6 \\ 1 & 5 & 0 & - 4 \end{array} \right]
E) [14−1−90−94−6150−4]\left[ \begin{array} { c c c : c } 1 & 4 & - 1 & - 9 \\ 0 & - 9 & 4 & - 6 \\ 1 & 5 & 0 & - 4 \end{array} \right]

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