Find the Optimal Row or Column Strategy of the Matrix $\mathrm { M }$

question 44

Multiple Choice

Find the optimal row or column strategy of the matrix game.
-Let $\mathrm { M }$ be the matrix game having payoff matrix $\left[ \begin{array} { r r r } 5 & - 4 & 5 \\ - 3 & 4 & 0 \\ - 9 & - 3 & - 2 \end{array} \right]$ .
Find the optimal row strategy.

• A) \(\hat { x } = \left[ \begin{array} { c } \frac { 1 } { 2 } \\ 0 \\ \frac { 1 } { 2 } \end{array} \right]\)
• B) \(\hat { x } = \left[ \begin{array} { c } \frac { 1 } { 2 } \\ \frac { 1 } { 2 } \\ 0 \end{array} \right]\)
• C) \(\hat { x } = \left[ \begin{array} { c } \frac { 7 } { 16 } \\ 0 \\ \frac { 9 } { 16 } \end{array} \right]\)
• D) \(\hat { x } = \left[ \begin{array} { c } \frac { 7 } { 16 } \\ \frac { 9 } { 16 } \\ 0 \end{array} \right]\)

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Definitions:

Blood Vessel Walls

The layers or tunics forming the structure of blood vessels, including arteries, veins, and capillaries, responsible for blood circulation and nutrient transport.

Stroke Volume

The amount of blood pumped out of the ventricle of the heart with each heartbeat.

Laminar Blood Flow

Laminar blood flow describes the smooth, orderly movement of blood through vessels, where layers of blood move parallel to the vessel wall without mixing.

Innermost Layer

The deepest or most central layer within a structure.