For each of the following relations explain if it is: Reflexive, Irreflexive, or neither -Symmetric -Antisymmetric -Transitive -Partial Order -Total Order -Equivalence Relation -Describe the equivalence classes if it is an equivalence relation R is the relation over integers where (m,n) is in the relationship if the product of the digits in m is greater than or equal to the productof the digits in n.EG. m=1223 and n = 111111 is in the relation, but m=119and n= 2321is not in the relation.(1223 has product 12 and 111111 has product of 1)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For each of the following relations explain if it is:

Reflexive, Irreflexive, or neither

-Symmetric

-Antisymmetric

-Transitive

-Partial Order

-Total Order

-Equivalence Relation

-Describe the equivalence classes if it is an equivalence relation

R is the relation over integers where (m,n) is in the relationship if the product of the digits in m is greater than or equal to the productof the digits in n.EG. m=1223 and n = 111111 is in the relation, but m=119and n= 2321is not in the relation.(1223 has product 12 and 111111 has product of 1)

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