What is trivial relation?

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The relation which equals the product of the sets on which it is defined is called trivial relation. 1) A relation R in a set A is called empty relation, if no element of A is related to any element of A, i.e., R = CAXA. 2) A relation R in a set A is called universal relation, if each element of...
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The relation which equals the product of the sets on which it is defined is called trivial relation. 1) A relation R in a set A is called empty relation, if no element of A is related to any element of A, i.e., R = CAXA. 2) A relation R in a set A is called universal relation, if each element of A is related to every element of A, i.e., R = A x A. So both relations are trivial relation as they are equal to product of A on which they are defined. read less
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The relation which equals the product of the sets on which it is defined is called trivial relation. 1) A relation R in a set A is called empty relation, if no element of A is related to any element of A, i.e., R = CAXA. 2) A relation R in a set A is called universal relation, if each element of...
read more
The relation which equals the product of the sets on which it is defined is called trivial relation. 1) A relation R in a set A is called empty relation, if no element of A is related to any element of A, i.e., R = CAXA. 2) A relation R in a set A is called universal relation, if each element of A is related to every element of A, i.e., R = A x A. So both relations are trivial relation as they are equal to product of A on which they are defined. read less
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Relations and Functions: Class 12
Relation: A relation, R, from a non-empty set A to another non-empty set B, is mathematically defined as an arbitrary subset of the cartesian product of A and B. Domain, Range and Co-domain of the Relation...

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