See attached, answer part 1 PROBLEM 6Part 1. Give the adjacency matrix for the graph G as pictured below:(236Figure 2: A graph shows 6 vertices and 9 edges. The vertices are 1, 2, 3, 4, 5, and6, represented by circles. The edges between the vertices are represented by arrows,as follows: 4 to 3; 3 to 2; 2 to 1; I to 6; 6 to 2; 3 to 4; 4 to 5; 5 to 6; and a self loop onvertex 5.Part 2. A directed graph G has 5 vertices, numbered 1 through 5. The 5 × 5matrix A is the adjacency matrix for G. The matrices A² and A³ are given below.0 1 0 0 0O 0 0 10 0 01 0 0 0 01 0 0 1 01 1 0A² =1.1 0 0 0 01 0 0 0 00 0 10 00 1 10 11 0 1 0A3 =1Use the information given to answer the questions about the graph(a) Which vertices can reach vertex 2 by a walk of length 3?(b) Is there a walk of length 4 from vertex 4 to vertex 5 in G? (Hint: A4=A? A?.)

Answered: Image /qna-images/answer/9374a1b5-6762-48b1-8fb3-324c0a1e212f.jpg

PROBLEM 6 Part 1. Give the adjacency matrix for the graph G as pictured below: 2 3 Figure 2: A graph shows 6 vertices and 9 edges. The vertices are 1, 2, 3, 4, 5, and 6, represented by circles. The edges between the vertices are represented by arrows, as follows: 4 to 3; 3 to 2; 2 to 1; 1 to 6; 6 to 2; 3 to 4; 4 to 5; 5 to 6; and a self loop on vertex 5.

PROBLEM 6 Part 1. Give the adjacency matrix for the graph G as pictured below: 2 3 Figure 2: A graph shows 6 vertices and 9 edges. The vertices are 1, 2, 3, 4, 5, and 6, represented by circles. The edges between the vertices are represented by arrows, as follows: 4 to 3; 3 to 2; 2 to 1; 1 to 6; 6 to 2; 3 to 4; 4 to 5; 5 to 6; and a self loop on vertex 5.

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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