The Matrix Is the Reduced Echelon Matrix for a System $$\left[ \begin{array} { l l l l | r } 1 & 8 & 0 & 0 & 5 \\0 & 0 & 1 & 0 & - 13 \\0 & 0 & 0 & 1 & 5 \\0 & 0 & 0 & 0 & 0\end{array} \right]$$

question 190

Multiple Choice

The matrix is the reduced echelon matrix for a system with variables x 1 , x 2 , x 3 , and x 4 . Find the solution set of the system. $$\left[ \begin{array} { l l l l | r } 1 & 8 & 0 & 0 & 5 \\0 & 0 & 1 & 0 & - 13 \\0 & 0 & 0 & 1 & 5 \\0 & 0 & 0 & 0 & 0\end{array} \right]$$

• A) ( k , 5 \(-\) 8 k , \(-\) 13, 5), where k is any real number
• B) (5 \(-\) 8 k , k , \(-\) 13, 5), where k is any real number
• C) (5 + 8 k , k , \(-\) 13, 5), where k is any real number
• D) ( k , \(-\) 5 + 8 k , \(-\) 13, 5), where k is any real number
• E) inconsistent

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