State true or false-A relation R in a set A is called symmetric if a-b - R implies that b-a - R - a-b - A-

We know that a relation R in a set A is called symmetric if (a,b) ∈ R implies that #160; (b,a) ∈ R ,∀ a,b ∈ A #160; .Thus, the given s ...

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Multiplication of Matrices

State true or...

Question

State true or false:
A relation $R$ in a set $A$ is called symmetric if $(a, b) \in R$ implies that $(b, a) \in R, \forall a, b \in A$ .

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Cheeck whether the relation R. defined in the set {1,2,3,4,5,6} as R ={(a,b):b=a+1} is reflexive, symmetric or transitive.

Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} as

R = {(a, b): b = a + 1} is reflexive, symmetric or transitive.

R

A

(a, b), (b, a) \in R

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