By hand solution neededKindly solve all three parts correctly in the order to get positive feedback please show neat and clean work for it A. Loops and TreesDraw a graph with numbered nodes and numbered, directed edges whose incidence matrixisA =(i) b₁ =-1 1-1 00 01 0010 -100 -1 11. Describe which edges form loops in your graph. Use these to find a basis for the leftnullspace of your graph.(ii) b₂ =2. Does the system Ar = b have solution(s) for the following choices of right-hand sidevectors b? Justify your answer.(iii) b3 =23. For any of the systems in the previous question, which of them have infinitely manysolutions? Find a column vector representation of those solutions.

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Answered: Draw a graph with numbered nodes and…

Draw a graph with numbered nodes and numbered, directed edges whose incidence matrix is A || 1400 -1 1 -1 0 0 0 1 0 1 0 -1 0-1

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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