Use Gaussian elimination and matrices to solve the system of linear equations. Write your final augmented matrix in triangular form and then solve for each variable using back substitution.
-$$\begin{aligned}
x + y + z & = 3 \
x - y + 2 z & = 5 \
4 x + y + z & = - 3
\end{aligned}$$
A)(-2, 1, 4)
B)(-2, 4, 1)
C)(4, -2, 1)
D)(4, 1, -2)

Question

Quizplus · Accepted Answer

The system of equations can be represented as an augmented matrix and reduced to triangular form using Gaussian elimination. After performing the necessary row operations, the matrix can be reduced, and back substitution can be used to find the solution $x = -2$, $y = 1$, and $z = 4$.

Use Gaussian Elimination and Matrices to Solve the System of Linear