Let A = {1,2,3, 4,5 ,6} and R a relation on A whose MR is given below0 10 0 0 100I0 0 00 0 1 10 00 1Mg!!0.0 0 0 0 0 00 0 0 1 0 0]A) Draw the graph of RB) Find all paths of length 39 Determine whether R is reflexive, irreflexive, symmetric, antisymmetric and transitive

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Answered: Let A = {1,2,3,4,5,6} and R a relation…

Let A = {1,2,3,4,5,6} and R a relation on A whose MR is given below 0 100 0 1 0 0 1000 10 0 10 1 0 10 0 0 0 0 0 0 0 0 0 1 00 0 0 1 MR = %3D

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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Question

Let A = {1,2,3, 4,5 ,6} and R a relation on A whose MR is given below
0 10 0 0 1
00
I0 0 0
0 0 1 1
0 0
0 1
Mg
!!
0.
0 0 0 0 0 0
0 0 0 1 0 0]
A) Draw the graph of R
B) Find all paths of length 3
9 Determine whether R is reflexive, irreflexive, symmetric, antisymmetric and transitive

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