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

question 144

Multiple Choice

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) \(\{ ( - 4.49 , - 6.63,2.49 ) \}\)

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