Let A be the set A = {a, b, c, d} and R a relation on A defined as the following:   R = {(a, a), (a, b), (a, c), (b, a), (b, b), (b, d), (c, a), (c, c), (c, d), (d, b), (d, c), (d, d)}   Answer all the following questions:   A.    Represent R with a matrix (considering the elements of the set A listed in the same order as above)  B.    Determine whether R is reflexive, symmetric, antisymmetric or transitive  C.    Determine which of the following graphs represents R

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let A be the set A = {a, b, c, d} and R a relation on A defined as the following:
 
R = {(a, a), (a, b), (a, c), (b, a), (b, b), (b, d), (c, a), (c, c), (c, d), (d, b), (d, c), (d, d)}
 
Answer all the following questions:
 
A.    Represent R with a matrix (considering the elements of the set A listed in the same order as above) 
B.    Determine whether R is reflexive, symmetric, antisymmetric or transitive 
C.    Determine which of the following graphs represents R 
2.
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