Question

consider the given network. organize the data in matrix form.

\\( x = \

$$\begin{bmatrix} 0 & 0 & 0 \\\\ 1 & 0 & 1 \\\\ 1 & 1 & 0 \\end{bmatrix}$$

\\)

\\( x = \

$$\begin{bmatrix} 0 & 1 & 0 \\\\ 1 & 0 & 1 \\\\ 0 & 1 & 0 \\end{bmatrix}$$

\\)

Explanation:

Identify vertices and connections

Using the Undirected Graph knowledge point

• Vertices: \(A, B, C\)
• Edges: \((A, B)\), \((B, C)\)

Construct the adjacency matrix

Using the Adjacency Matrix Construction knowledge point

$$ X =
LATEXBLOCK0
$$

Answer:

• (A) \(X =

$$\begin{bmatrix} 0 & 0 & 0 \\ 1 & 0 & 1 \\ 1 & 1 & 0 \end{bmatrix}$$

\)

• **(B) \(X =

$$\begin{bmatrix} 0 & 1 & 0 \\ 1 & 0 & 1 \\ 0 & 1 & 0 \end{bmatrix}$$

\) (Correct answer)**