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

Question 23

Multiple Choice

The reduced row echelon form of the augmented matrix of a system of equations is given. Find the solutions of thesystem.
- [100312010080012600000]\left[\begin{array}{rrrr|r}1 & 0 & 0 & 3 & 12 \\ 0 & 1 & 0 & 0 & -8 \\ 0 & 0 & 1 & -2 & 6 \\ 0 & 0 & 0 & 0 & 0\end{array}\right]


A) (12+3w,8,62w(12+3 w,-8,6-2 w , w) for any real number ww
B) No solution
C) (12,8,6,0) (12,-8,6,0)
D) (123w,8,6+2w(12-3 w,-8,6+2 w , w) for any real number ww

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