Multiple Choice A directed graph G has 5 vertices, numbered 1 through 5. The 5x5 matrix A is the adjacency matrix for G. The matrix A? is given below. 0 0 1 0 0 0 0 0 1 0 A? = 0 0 0 0 1 10 10 0 0 0 1 0 1 Which vertex can be reached by a walk of length 4 that starts at vertex 1?
Multiple Choice A directed graph G has 5 vertices, numbered 1 through 5. The 5x5 matrix A is the adjacency matrix for G. The matrix A? is given below. 0 0 1 0 0 0 0 0 1 0 A? = 0 0 0 0 1 10 10 0 0 0 1 0 1 Which vertex can be reached by a walk of length 4 that starts at vertex 1?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Multiple Choice**
A directed graph \( G \) has 5 vertices, numbered 1 through 5. The 5x5 matrix \( A \) is the adjacency matrix for \( G \). The matrix \( A^2 \) is given below.
\[ A^2 = \begin{pmatrix}
0 & 0 & 1 & 0 & 0 \\
0 & 0 & 0 & 0 & 0 \\
0 & 0 & 0 & 0 & 1 \\
1 & 0 & 1 & 0 & 0 \\
0 & 0 & 1 & 0 & 1
\end{pmatrix} \]
Which vertex can be reached by a walk of length 4 that starts at vertex 1?
- ○ 2
- ○ 5
- ○ 3
- ○ 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64890eb5-4eb0-4853-894d-dd9980127f88%2F66e4e2d7-334f-49c4-9413-536a703af2cd%2Fk48elq_processed.png&w=3840&q=75)
Transcribed Image Text:**Multiple Choice**
A directed graph \( G \) has 5 vertices, numbered 1 through 5. The 5x5 matrix \( A \) is the adjacency matrix for \( G \). The matrix \( A^2 \) is given below.
\[ A^2 = \begin{pmatrix}
0 & 0 & 1 & 0 & 0 \\
0 & 0 & 0 & 0 & 0 \\
0 & 0 & 0 & 0 & 1 \\
1 & 0 & 1 & 0 & 0 \\
0 & 0 & 1 & 0 & 1
\end{pmatrix} \]
Which vertex can be reached by a walk of length 4 that starts at vertex 1?
- ○ 2
- ○ 5
- ○ 3
- ○ 4
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