a) A computer program consists of five modules M1, M2, M3, M4, and M5. A relation R on the set of modules is defined by the relation matrix for R as shown below: M₁ M₂ M3 M4 M5 T F T T F TT F F FTF F M₁ M₂ F M3 F M4 FFT T F M5 F FTT T Then Write the relation R and draw the digraph for the relation R. b) Check whether R is reflexive, symmetric, anti-symmetric and transitive.
a) A computer program consists of five modules M1, M2, M3, M4, and M5. A relation R on the set of modules is defined by the relation matrix for R as shown below: M₁ M₂ M3 M4 M5 T F T T F TT F F FTF F M₁ M₂ F M3 F M4 FFT T F M5 F FTT T Then Write the relation R and draw the digraph for the relation R. b) Check whether R is reflexive, symmetric, anti-symmetric and transitive.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 5TFE: True or False
Label each of the following statements as either true or false.
Let be an equivalence...
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Transcribed Image Text:a) A computer program consists of five modules M1, M2,
M3, M4, and M5. A relation R on the set of modules is
defined by the relation matrix for R as shown below:
M1 M2 M3 M4 M5
M1
T
F
T
T
F
M2
F
T
T
F
F
M3
F
T
F
F
M4
F
F
T
F
M5
F
F T
T
T
Then Write the relation R and draw the digraph for the
relation R.
b) Check whether R is reflexive, symmetric, anti-symmetric
and transitive.
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