Use matrices to solve the system of equations (if possible).Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.
$$\left\{ \begin{array} { r l r }
3 x + 2 y - z + w & = 0 \
x - y + 4 z - w & = 28 \
- 2 x + y + 2 z - w & = 3 \
x + y + z + w & = 8
\end{array} \right.$$
A) (-3, -2, 6, 1)
B)(-3, 2, -6, -1)
C)(3, -2, 6, 1)
D)(3, -2, 6, -1)
E)(3, -2, -6, 1)

Question

Use matrices to solve the system of equations (if possible).Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.  
  $$\left\{ \begin{array} { r l r } 
3 x + 2 y - z + w & = 0 \
x - y + 4 z - w & = 28 \
- 2 x + y + 2 z - w & = 3 \
x + y + z + w & = 8
\end{array} \right.$$  
A) (-3, -2, 6, 1)
B)(-3, 2, -6, -1)
C)(3, -2, 6, 1)
D)(3, -2, 6, -1)
E)(3, -2, -6, 1)

Quizplus · Accepted Answer

The solution to the system of equations using Gaussian elimination or Gauss-Jordan elimination is (3, -2, 6, 1).

Use Matrices to Solve the System of Equations (If Possible)