Solve the System of Equations by Using the Inverse of the Coefficient

question 18

Multiple Choice

Solve the system of equations by using the inverse of the coefficient matrix.
- $\begin{array}{l}2 x+4 y+z=-10 \\4 x-4 y-z=-8 \\5 x+y+4 z=-1\end{array}$

• A) \( (-3,4,-2) \)
• B) \( (-3,-2,4) \)
• C) \( (4,-2,-3) \)
• D) No inverse, no solution for system

---

Definitions:

Anti-inflammatory

Substances or drugs that reduce inflammation or swelling in the body, commonly used to treat conditions like arthritis or allergies.

β-Carotene

A red-orange pigment found in plants and fruits, and a critical precursor of vitamin A in the human diet.

Isoprene

A common organic compound with the formula C5H8, used as a monomer in the production of natural and synthetic rubbers.

Steroids

A class of lipophilic compounds characterized by a core structure of four fused carbon rings, varying by the functional groups attached and serving in various biological roles.