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 10 0 0 00 1 10 1010 00 0 0 00 100 MR = %3D 0 0 0 1 00 A) Draw the graph of R B) Find all paths of length 3 9 Determine whether R is reflexive, irreflexive, symmetric, antisymmetric and transitive

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let A = {1,2, 3,4, 5 ,6} and R a relation on A whose MR is given below
0 100 1
0 0 1 0 00
0 0
MR
1
100
%3D
0 101
0 0 000
1
0 0 0 1 00
A) Draw the graph of R
B) Find all paths of length 3
C) Determine whether R is reflexive, irreflexive, symmetric, antisymmetric and transitive ( Show your work
Transcribed Image Text:Let A = {1,2, 3,4, 5 ,6} and R a relation on A whose MR is given below 0 100 1 0 0 1 0 00 0 0 MR 1 100 %3D 0 101 0 0 000 1 0 0 0 1 00 A) Draw the graph of R B) Find all paths of length 3 C) Determine whether R is reflexive, irreflexive, symmetric, antisymmetric and transitive ( Show your work
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