Use Matrix Inversion to Solve the System of Linear Equations $\begin{aligned}2 x + 3 y - 2 z & = - 11 \\x + y + z & = 5 \\x + 2 y - z & = - 4\end{aligned}$

question 117

Multiple Choice

Use matrix inversion to solve the system of linear equations. $\begin{aligned}2 x + 3 y - 2 z & = - 11 \\x + y + z & = 5 \\x + 2 y - z & = - 4\end{aligned}$

• A) \(x = - 3\) , \(y = 3\) , \(z = 6\)
• B) \(x = - 2\) , \(y = 3\) , \(z = 6\)
• C) \(x = - 2\) , \(y = 3\) , \(z = 7\)
• D) \(x = - 4\) , \(y = 3\) , \(z = 6\)
• E) \(x = - 3\) , \(y = 3\) , \(z = 7\)

---

Definitions:

Plantation Workers

Laborers who work on plantations, historically often under conditions of servitude or slavery, cultivating crops such as sugar, cotton, and tobacco.

Western Settlement

The migration and establishment of communities and towns in the Western territories of the United States during the 19th century.

Civil War

A conflict between citizens of the same country, often referring to the American Civil War from 1861 to 1865 between Northern states (Union) and Southern states (Confederacy) over issues including slavery and states' rights.

U.S. Government

The federal government of the United States, composed of three branches: executive, legislative, and judicial, established by the Constitution to govern the country.