Solve the System of Linear Equations Using Matrices $$\left\{ \begin{aligned}3 x - 9 y + 4 z & = - 32 \\- 9 x + 27 y - 12 z & = 96 \\9 x - 27 y + 12 z & = - 96\end{aligned} \right.$$

question 103

Multiple Choice

Solve the system of linear equations using matrices.
- $$\left\{ \begin{aligned}3 x - 9 y + 4 z & = - 32 \\- 9 x + 27 y - 12 z & = 96 \\9 x - 27 y + 12 z & = - 96\end{aligned} \right.$$

• A) \(\{ ( x , y , z ) \mid 9 x - 27 y + 12 z = - 32 \}\)
• B) \(( - 1,1 , - 5 )\)
• C) \(\{ ( x , y , z ) \mid 3 x - 9 y + 4 z = - 32 \}\)
• D) \(\varnothing\)

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Definitions:

MRP

Material Requirements Planning, a system for calculating materials and scheduling production to ensure that components are available for production and finished goods for delivery.

Wage Rate

The amount of compensation an employee receives in exchange for performing a specific job, typically expressed per hour or year.

Derived Demand For Labor

The demand for labor that is dependent on the demand for the goods and services labor produces.

Airline Pilots

Trained professionals who operate aircraft, ensuring safe flight operations from departure to arrival.