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

Multiple Choice

The reduced row echelon form of the augmented matrix of a system of equations is given. Find the solutions of thesystem.
- $\left[\begin{array}{rrrrr|r}1 & 0 & 0 & 0 & 0 & 2 \\ 0 & 1 & 0 & 0 & 0 & 8 \\ 0 & 0 & 1 & 0 & 0 & 4 \\ 0 & 0 & 0 & 1 & 0 & -4 \\ 0 & 0 & 0 & 0 & 0 & 1\end{array}\right]$

A) $(2,8,4,-4,1)$
B) $(2,8,4,-4, w)$ for any real number $\mathrm{w}$
C) $(2,8,4,-4)$
D) No solution