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Write the smallest equivalence relation R on Set A = {1, 2, 3}

Write the smallest equivalence relation R on Set A = {1, 2, 3}

Grade:upto college level

4 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
Hello student,
The smallest equivalence relation on A+{1,2,3} is
A={(1,1)(1,2)(1,3)(2,1)(2,2)(2,3)(3,1)(3,2)(3,3)}
Thanks and Regards
Shaik Aasif
askIITians faculty
Akankshya
46 Points
4 years ago
The smallest equivalence relation on A={1,2,3} is {(1,1), (2,2), (3,3)}..because it is reflexive ,symmetric and transitive at all.
Kishlay
13 Points
3 years ago
The smallest equivalence relation on A={1,2,3} is {(1,1), (2,2), (3,3)}. It is reflexive, symmetric and transitive. Think for a while.... U can take the ordered pair twice to check for these conditions. For eg: Take (1,1), (1,1)... U get reflexive, symmetric as well as transitive. Similarly is the case with (2,2), and (3,3).
Kushagra Madhukar
askIITians Faculty 629 Points
one year ago
Dear student,
 
The smallest equivalence relation on A = {1,2,3} is {(1,1), (2,2), (3,3)}
We can this because it is reflexive, symmetric as well as transitive.
 
Thanks and regards,
Kushagra

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