The Matrix Associated with the Solution to a System of Linear

question 79

Multiple Choice

The matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the
system, if it exists.
- $$\left[ \begin{array} { r r r | r } 1 & - 1 & 4 & - 20 \\5 & 0 & 1 & - 4 \\1 & 3 & 1 & 8\end{array} \right]$$

• A) \(x = 0 , y = 4 , z = - 4\)
• B) \(x = - 4 , y = 4 , z = 0\)
• C) \(x = 4 , y = 4 , z = - 4\)
• D) \(x = - 4 , y = 0 , z = 4\)

---

Definitions:

External Coordination

The process of aligning activities, efforts, and strategies with entities or organizations outside one's own to achieve collective goals.

Interdependence

The mutual reliance or dependence between individuals or groups, where actions or outcomes for one party affect the other.

Explicit Strategy

A clearly defined plan of action designed to achieve a specific goal or set of objectives, which is articulated in a direct and unambiguous manner.

New Task

A novel assignment or duty that needs to be completed, often differing from previous or routine tasks.