Question

Let A = {1,2,3}. Determine all the equivalence relations R on A. For each of these,...

Let A = {1,2,3}. Determine all the equivalence relations R on A. For each of these, list all ordered pairs in the relation

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
S={1,2,3} a. Draw the directed graphs of all equivalence relations on S b. How many binary...
S={1,2,3} a. Draw the directed graphs of all equivalence relations on S b. How many binary relations on S are symmetric? Justify
Let R be a relation on set RxR of ordered pairs of real numbers such that...
Let R be a relation on set RxR of ordered pairs of real numbers such that (a,b)R(c,d) if a+d=b+c. Prove that R is an equivalence relation and find equivalence class [(0,b)]R
Determine whether the given relation is an equivalence relation on {1,2,3,4,5}. If the relation is an...
Determine whether the given relation is an equivalence relation on {1,2,3,4,5}. If the relation is an equivalence relation, list the equivalence classes (x, y E {1, 2, 3, 4, 5}.) {(1,1), (2,2), (3,3), (4,4), (5,5), (1,3), (3,1), (3,4), (4,3)} If the relation above is not an equivalence relation, state that the relation is not an equivalence relation  and why. Example: "Not an equivalence relation. Relation is not symmetric" Remember to test all pairs in relation R
Let R1 and R2 be equivalence relations on a set A. (a) Must R1∪R2 be an...
Let R1 and R2 be equivalence relations on a set A. (a) Must R1∪R2 be an equivalence relation? (b) Must R1∩R2 be an equivalence relation? (c) Must R1⊕R2 be an equivalence relation?[⊕is the symmetric difference:x∈A⊕B if and only if x∈A,x∈B, and x /∈A∩B.]
There is no equivalence relation R on set {a, b, c, d, e} such that R...
There is no equivalence relation R on set {a, b, c, d, e} such that R contains less than 5 ordered pairs (True or False)
Let S1 and S2 be any two equivalence relations on some set A, where A ≠...
Let S1 and S2 be any two equivalence relations on some set A, where A ≠ ∅. Recall that S1 and S2 are each a subset of A×A. Prove or disprove (all three): The relation S defined by S=S1∪S2 is (a) reflexive (b) symmetric (c) transitive
Let S1 and S2 be any two equivalence relations on some set A, where A ≠...
Let S1 and S2 be any two equivalence relations on some set A, where A ≠ ∅. Recall that S1 and S2 are each a subset of A×A. Prove or disprove (all three): The relation S defined by S=S1∪S2 is (a) reflexive (b) symmetric (c) transitive
Determine the distance equivalence classes for the relation R is defined on ℤ by a R...
Determine the distance equivalence classes for the relation R is defined on ℤ by a R b if |a - 2| = |b - 2|. I had to prove it was an equivalence relation as well, but that part was not hard. Just want to know if the logic and presentation is sound for the last part: 8.48) A relation R is defined on ℤ by a R b if |a - 2| = |b - 2|. Prove that R...
List all equivalence relations on {0, 1, 2, 3}.
List all equivalence relations on {0, 1, 2, 3}.
Let ​R​ be an equivalence relation defined on some set ​A​. Prove using mathematical induction that...
Let ​R​ be an equivalence relation defined on some set ​A​. Prove using mathematical induction that ​R​^n​ is also an equivalence relation.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT