prove why they have or do not have the properties: reflexive, symmetric, antisymmetric, transitive they have. Write which of these is an equivalence relation. 1) Set A = {a,b,c}, relation R:A x A is defined as R = {(a,a},(b,b),(c,c),(a,b),(a,c),(c,b)}
prove why they have or do not have the properties: reflexive, symmetric, antisymmetric, transitive they have. Write which of these is an equivalence relation. 1) Set A = {a,b,c}, relation R:A x A is defined as R = {(a,a},(b,b),(c,c),(a,b),(a,c),(c,b)}
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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prove why they have or do not have the properties: reflexive, symmetric, antisymmetric, transitive they have. Write which of these is an equivalence relation.
1) Set A = {a,b,c}, relation R:A x A is defined as R = {(a,a},(b,b),(c,c),(a,b),(a,c),(c,b)}
Expert Solution
Step 1
A relation R is reflexive if for every element a.
Here . Thus, R is reflexive.
A relation R is symmetric if for every element a, b.
Here . Thus, R is not symmetric.
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