Use an Inverse Matrix to Find the Solution to the System

question 5

Multiple Choice

Use an inverse matrix to find the solution to the system.
- $$\left\{ \begin{array} { c } 3 x - y - 5 z = - 34 \\- 3 x + 4 y + 3 z = 37 \\9 x - 6 y + z = 21\end{array} \right.$$

• A) \(x = 6 , y = 9 , z = 7\)
• B) \(x = - 6 , y = 7 , z = 12\)
• C) \(x = 6 , y = 7 , z = 9\)
• D) \(x = - 6 , y = 12 , z = 7\)

---

Definitions:

Vocational Training

Education or training focused on teaching the skills necessary for a specific job or career path.

Financially Independent

The state of having sufficient personal wealth to live, without having to work actively for basic necessities. For individuals, financial independence means the freedom to make life decisions without being overly stressed about financial constraints.

Diversity Training

Educational programs focused on improving participants' understanding, respect, and interaction with different cultures and demographics within the workplace.

Hierarchical Approach

A method of organization or structure where elements are ranked or arranged according to levels of importance or authority.