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The Reduced Row Echelon Form of the Augmented Matrix of a System

Question 129

Multiple Choice

The reduced row echelon form of the augmented matrix of a system of equations is given. Find the solutions of thesystem.
-45 [1000120100000108000111/2]\left[\begin{array}{llll|c}1 & 0 & 0 & 0 & 12 \\ 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & -8 \\ 0 & 0 & 0 & 1 & 11 / 2\end{array}\right]


A) (12,w,8,112) \left(12, w,-8, \frac{11}{2}\right) for any real number ww
B) (12,0,8,112) \left(12,0,-8, \frac{11}{2}\right)
C) (12,8,112,0) \left(12,-8, \frac{11}{2}, 0\right)
D) No solution

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