The Matrix Associated with the Solution to a System of Linear

question 195

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.
- $$\left[ \begin{array} { r r r | r } 5 & 2 & 1 & - 8 \\2 & - 3 & - 1 & - 5 \\5 & 1 & 4 & 5\end{array} \right]$$

• A) \(x = - 2 , y = 4 , z = - 1\)
• B) \(x = 4 , y = - 2 , z = - 1\)
• C) \(x = 4 , y = - 1 , z = - 2\)
• D) \(x = - 2 , y = - 1 , z = 4\)

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Definitions:

Dominant Strategy

A strategy in game theory that is best for a player regardless of the strategies chosen by the other players.

Nash Equilibrium

A concept in game theory where no participant can gain by unilaterally changing their strategy if the strategies of the others remain unchanged.

Repeated Games

A situation in strategic interactions where players engage in the same game multiple times, allowing for strategy adjustments based on previous outcomes.

Nash Equilibrium

A solution concept in game theory where no player can benefit by changing strategies while the other players keep theirs unchanged.