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.
-$$\begin{aligned}
x - y + 4 z & = 16 \
4 x + z & = 5 \
x + 5 y + z & = 25
\end{aligned}$$
A)(0, 4, 5)
B)(5, 4, 0)
C)(0, 5, 4)
D)(5, 0, 4)

Question

Quizplus · Accepted Answer

The correct answer is A because the augmented matrix in triangular form is:$$\left[\begin{array}{rrr|r}1 & 0 & 0 & 5 \0 & 1 & 0 & 4 \0 & 0 & 1 & 5\end{array}\right]$$which gives the solution $x = 5, y = 4, z = 5$.

Use Gaussian Elimination and Matrices to Solve the System of Linear