Use a calculator to approximate the reduced row-echelon form of the augmented matrix representing the
given system. Give the solution set where x, y, and z are rounded to 2 decimal places.
-$\begin{aligned}
0.52 x - 3.79 y - 4.67 z & = 9.15 \
0.03 x + 0.06 y + 0.13 z & = 0.53 \
0.974 x + 0.813 y + 0.419 z & = 0.189
\end{aligned}$
A) $\{ ( 6.18 , - 11.2,7.82 ) \}$
B) $\{ ( - 15.61 , - 1.39 , - 2.84 ) \}$
C) $\{ ( 7.91 , - 1.03,3.18 ) \}$
D) $\{ ( - 4.49 , - 6.63,2.49 ) \}$

Question

Quizplus · Accepted Answer

The reduced row-echelon form of the augmented matrix is:$$\begin{bmatrix} 1 & 0 & 0 & 6.18 \ 0 & 1 & 0 & -11.2 \ 0 & 0 & 1 & 7.82 \end{bmatrix}$$So the solution set is:$$\{(6.18,-11.2,7.82)\}$$

Use a Calculator to Approximate the Reduced Row-Echelon Form of the Augmented