0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.1: Matrix Operations
Problem 40EQ: In each of the following, find the 66matrixA=[aij] that satisfies the given condition:...
icon
Related questions
Question
Note that for the following question you should use technology to do the matrix calculations.
Consider a graph with the following adjacency matrix:
0 0 0 1 1 1
0 1 1 0 1 0
0 1 0 0 1 1
1
0 0 0 1 0
1
1 1 1 0 1
1 0 1 0 1 1
Assuming the nodes are labelled 1,2,3,4,5,6 in the same order as the rows and columns, answer the folllowing questions:
(a) How many walks of length 2 are there from node 6 to itself?
4
(b) How many walks of length 4 are there from node 6 to itself?
(c) How many walks of length 4 are there from node 5 to node 4?
(d) How many walks of length 5 are there from node 5 to node 4?
Transcribed Image Text:Note that for the following question you should use technology to do the matrix calculations. Consider a graph with the following adjacency matrix: 0 0 0 1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 Assuming the nodes are labelled 1,2,3,4,5,6 in the same order as the rows and columns, answer the folllowing questions: (a) How many walks of length 2 are there from node 6 to itself? 4 (b) How many walks of length 4 are there from node 6 to itself? (c) How many walks of length 4 are there from node 5 to node 4? (d) How many walks of length 5 are there from node 5 to node 4?
Expert Solution
steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning