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If $(a,a) \in R\;$ for every $\; a\in\;A$, then what is the relation $R$ in the set $A$ is called?
related to an answer for:
A relation R is an equivalance relation if it satisifes which of the following properties?
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Mar 8, 2013
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balaji.thirumalai
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ANSWER: A relation R in a set A is called $\mathbf{ reflexive},$ if $(a,a) \in R\;$ for every $\; a\in\;A$
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Mar 8, 2013
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balaji.thirumalai
In a set $A$, if $(a_1,a_2) \in R\;\Rightarrow\; (a_2,a_1)\in R \; for \;a_1,a_2 \in A$, then what is the relation $R$ called?
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In a set $A$, if $(a_1,a_2) \in R\;\Rightarrow\; (a_2,a_1)\in R \; for \;a_1,a_2 \in A$, then what is the relation $R$ called?
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Fill in the Blank: A relation $R$ in a set $A$ is called ______ relation, if no element of $A$ is related to any element of $A$, i.e., $R = \phi \subset A \times A.$
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