Question

If R = {(1, 2),(2, 3),(3, 3)} be a relation defined on A= {1, 2, 3} then R .R( = R2) is *​

Answer 1

SOLUTION

GIVEN

R = { (1, 2),(2, 3),(3, 3) } be a relation defined on A = {1, 2, 3}

TO DETERMINE

R.R

EVALUATION

Suppose R and S are two relations on a set A

Then the composition of R and S is denoted by R.S and defined as

R.S = { (a, c) : (a, b) ∈ S and (b, c) ∈ R }

Here the given set is

A = {1, 2, 3}

Now R = { (1, 2),(2, 3),(3, 3) }

So we have

R.R = { (1,3) , (2,3) , (3,3) }

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