Use Gauss-Jordan row reduction to solve the given system of equations. $$\begin{array} { r }
x + y + z + u + v = 13 \
y + z + u + v = 3 \
x + 2 y + 2 z + 2 u + 2 v = 16 \
x - y - z - z + 16 \
x - 2 y - 2 z - 2 u - 2 v = 4
\end{array}$$
A) $( 8,4 - z - u - v , z , u , v )$ , z, u, v arbitrary
B) $( 9,3 - z - u - v , z , u , v )$ , z, u, v arbitrary
C) $( 10,3 - z - u - v , z , u , v )$ , z, u, v arbitrary
D) $( 6,3 - z - u - v , z , u , v )$ , z, u, v arbitrary
E) $( 13,4 - z - u - v , z , u , v )$ , z, u, v arbitrary

Question

Use Gauss-Jordan row reduction to solve the given system of equations.   $$\begin{array} { r } 
x + y + z + u + v = 13 \
y + z + u + v = 3 \
x + 2 y + 2 z + 2 u + 2 v = 16 \
x - y - z - z + 16 \
x - 2 y - 2 z - 2 u - 2 v = 4
\end{array}$$ 
A) $( 8,4 - z - u - v , z , u , v )$ , z, u, v arbitrary
B)   $( 9,3 - z - u - v , z , u , v )$ , z, u, v arbitrary
C) $( 10,3 - z - u - v , z , u , v )$ , z, u, v arbitrary
D) $( 6,3 - z - u - v , z , u , v )$ , z, u, v arbitrary
E) $( 13,4 - z - u - v , z , u , v )$ , z, u, v arbitrary

Quizplus · Accepted Answer

The Answer of Use Gauss-Jordan row reduction to solve the given system of equations.   $$\begin{array} { r } 
x + y + z + u + v = 13 \
y + z + u + v = 3 \
x + 2 y + 2 z + 2 u + 2 v = 16 \
x - y - z - z + 16 \
x - 2 y - 2 z - 2 u - 2 v = 4
\end{array}$$ 
A) $( 8,4 - z - u - v , z , u , v )$ , z, u, v arbitrary
B)   $( 9,3 - z - u - v , z , u , v )$ , z, u, v arbitrary
C) $( 10,3 - z - u - v , z , u , v )$ , z, u, v arbitrary
D) $( 6,3 - z - u - v , z , u , v )$ , z, u, v arbitrary
E) $( 13,4 - z - u - v , z , u , v )$ , z, u, v arbitrary

Use Gauss-Jordan Row Reduction to Solve the Given System of Equations