[1 1211 be the adjacency matrix for the graph G, withb)Let A1[21vertices vi, V2, V3.i)Find the number of walks of length 2, from vị to vị.ii)Draw the graph G and label the edges e; (i = 1, 2, 3,...)iii)Write down the walks of length 2 from vị to vị. Whichones are simple circuits?-111 011c)The matrix M =1represents1the relations R defined11.the set A = {1, 2, 3, 4}.i)List the ordered pairs in the relation R.ii)Draw the graph representing the relation R.

Given: b) Let's take A = 112101210be the adjacency matrix for graph G, ith the matrices V1, V2, V3.…

[1 1 2] 0 1 be the adjacency matrix for the graph G, with Let A 1 12 1 vertices vi, v2, V3. i) Find the number of walks of length 2, from vị to vị. ii) Draw the graph G and label the edges e; (i = 1, 2, 3, ...) iii) Write down the walks of length 2 from vị to vị. Which

[1 1 2] 0 1 be the adjacency matrix for the graph G, with Let A 1 12 1 vertices vi, v2, V3. i) Find the number of walks of length 2, from vị to vị. ii) Draw the graph G and label the edges e; (i = 1, 2, 3, ...) iii) Write down the walks of length 2 from vị to vị. Which

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.7: Applications

Problem 74EQ

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Question

[1 1
21
1 be the adjacency matrix for the graph G, with
b)
Let A
1
[2
1
vertices vi, V2, V3.
i)
Find the number of walks of length 2, from vị to vị.
ii)
Draw the graph G and label the edges e; (i = 1, 2, 3,
...)
iii)
Write down the walks of length 2 from vị to vị. Which
ones are simple circuits?
-1
1
1 01
1
c)
The matrix M =
1
represents
1
the relations R defined
1
1.
the set A = {1, 2, 3, 4}.
i)
List the ordered pairs in the relation R.
ii)
Draw the graph representing the relation R.

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