Part 1,2 and three needed to be solved correctly in 1 hour and get the thumbs up please show me the thumbs up please show me neat and clean work for itBy hand solution needed VIII. SESSION 9- GRAPHS AND NETWORKSA. Loops and TreesDraw a graph with numbered nodes and numbered, directed edges whose incidence matrixis(i) b₁ =A =1. Describe which edges form loops in your graph. Use these to find a basis for the leftnullspace of your graph.2. Does the system Az = b have solution(s) for the following choices of right-hand sidevectors b? Justify your answer.(ii) b₂ =0-1 1 0-1 0 10-10 0-1 10 1 0워(iii) b3 =3. For any of the systems in the previous question, which of them have infinitely manysolutions? Find a column vector representation of those solutions..

The given incidence matrix is: A=-1100-1010010-100-11 We know that the incidence matrix A is a n×m…

Answered: A. Loops and Trees Draw a graph with…

A. Loops and Trees Draw a graph with numbered nodes and numbered, directed edges whose incidence matrix is A = -1 1 0 0 0 -1 0 0 0 1 1 0 0-1 -1 1

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 16EQ

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Question

Part 1,2 and three needed to be solved correctly in 1 hour and get the thumbs up please show me the thumbs up please show me neat and clean work for it By hand solution needed

VIII. SESSION 9- GRAPHS AND NETWORKS
A. Loops and Trees
Draw a graph with numbered nodes and numbered, directed edges whose incidence matrix
is
(i) b₁ =
A =
1. Describe which edges form loops in your graph. Use these to find a basis for the left
nullspace of your graph.
2. Does the system Az = b have solution(s) for the following choices of right-hand side
vectors b? Justify your answer.
(ii) b₂ =
0
-1 1 0
-1 0 1
0
-1
0 0-1 1
0 1 0
워
(iii) b3 =
3. For any of the systems in the previous question, which of them have infinitely many
solutions? Find a column vector representation of those solutions..

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