Solution to Find matrix and digraph of the relation R=\ (x,y)/xRy iff 2+y is every defined on … - Sikademy
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Archangel Macsika

Find matrix and digraph of the relation R=\ (x,y)/xRy iff 2+y is every defined on the set A=\ 1,2,3,4\

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Here's the Solution to this Question

Assume R=\{ (x,y) \forall xRy\}iff x+y is every defined on the set A=\{1,2,3,4\}

Solution:

R=\{ (x,y) \forall xRy\}A=\{1,2,3,4\}

So, R=\{(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)\}

Define

M_{ij}=0; if\ (x,y)\in R \\ \ \ \ \ \ \ \ \ \ \ \ \ 1; if\ (x,y) \notin R

So, matrix M =


Digraph:


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