Write a Matrix to Display the Information $\left[\begin{array}{llll}0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 1 \\ 1 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0\end{array}\right] \quad$

Multiple Choice

Write a matrix to display the information.
-Four fire towers are linked by communication devices as shown in the diagram. Assume that each tower cannot communicate with itself and that communication with the other stations takes place Only in the direction of the arrows. Write a 4 × 4 matrix in which rows (and columns) 1, 2, 3, and 4 Refer to W, X, Y, and Z, respectively. Make an element a 1 if the tower for that row communicates With the tower for that column, and otherwise make the element a 0.

A) $\left[\begin{array}{llll}0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 1 \\ 1 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0\end{array}\right] \quad$
B) $\left[\begin{array}{llll}0 & 1 & 1 & 0 \\ 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 1 \\ 0 & 0 & 1 & 0\end{array}\right] \quad$
C) $\left[\begin{array}{llll}1 & 0 & 1 & 1 \\ 0 & 1 & 0 & 1 \\ 1 & 0 & 1 & 0 \\ 1 & 1 & 0 & 1\end{array}\right] \quad$
D) $\left[\begin{array}{llll}0 & 1 & 0 & 0 \\ 1 & 0 & 1 & 0 \\ 0 & 1 & 0 & 1 \\ 0 & 0 & 1 & 0\end{array}\right]$