Solve the System by Gauss - Jordan Elimination A) $( - 12 , - 16 , - 30 )$

question 16

Multiple Choice

Solve the system by Gauss - Jordan elimination. $$\left\{ \begin{aligned}\frac { 1 } { 3 } x + \frac { 3 } { 4 } y - \frac { 2 } { 3 } z & = - 4 \\x + \frac { 1 } { 2 } y + \frac { 1 } { 3 } z & = 30 \\\frac { 1 } { 6 } x - \frac { 1 } { 8 } y - z & = - 30\end{aligned} \right.$$

• A) \(( - 12 , - 16 , - 30 )\)
• B) \(( - 12,16 , - 30 )\)
• C) \(( 12,16,30 )\)
• D) \(( 0,16 , - 30 )\)
• E) \(( 12 , - 16,30 )\)

---

Definitions:

Limited Jurisdiction

Refers to courts that can only hear and decide cases within specific types of law or monetary limits.

Subject Matter

The main topic or content addressed in a document, discussion, or legal case.

In Rem Jurisdiction

A legal term referring to the court's power to adjudicate matters pertaining to property within its territory, regardless of the owner's location.

Geographic Area

A specific portion of the Earth's surface defined by natural or artificial boundaries.