Use Matrices and Gaussian Elimination to Solve Systems
Solve the System

question 30

Multiple Choice

Use Matrices and Gaussian Elimination to Solve Systems
Solve the system of equations using matrices. Use Gaussian elimination with back-substitution.
- $$\begin{aligned}x + y + z & = - 5 \\x - y + 4 z & = - 13 \\4 x + y + z & = - 2\end{aligned}$$

• A) \(\{ ( 1 , - 2 , - 4 ) \}\)
• B) \(\{ ( 1 , - 4 , - 2 ) \}\)
• C) \(\{ ( - 4 , - 2,1 ) \}\)
• D) \(\{ ( - 4,1 , - 2 ) \}\)

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Definitions:

Duodenum

The first part of the small intestine immediately beyond the stomach, key in digestion and absorption of nutrients.

Jejunum

The middle section of the small intestine in humans and most higher vertebrates, responsible for the absorption of nutrients.

Ileum

The final and longest segment of the small intestine, where most of the nutrients from digested food are absorbed.

Cardia

The region where the esophagus connects to the stomach, acting as a crucial entry point for food into the stomach.