Q 1. Let set A= (4, 8, 12, 16). Following are the relations defined on Ax A: R1= {(4,4),(8,8), (12,12), (16,16) } %3D R2= { (4,4), (1,12), (8,8), (12,12), (12,1), (16, 16) } R3= {(4,4), (12,4),...


Q 1.<br>Let set A= (4, 8, 12, 16). Following are the relations defined on Ax A:<br>R1= {(4,4),(8,8), (12,12), (16,16) }<br>%3D<br>R2= { (4,4), (1,12), (8,8), (12,12), (12,1), (16, 16) }<br>R3= {(4,4), (12,4), (12,8),(1,8), (4,8), (8,8),(12,12), (16,16) }<br>R4= {(12,4), (1,8), (4,8), (8,8),(12,12), (12, 8), (16,20), (4,4), (16,16) }<br>Find out that the relations (R1, R2, R3 and Ra) is Partial order relation or not?<br>Explain your answer using directed graph and matrix representation.<br>

Extracted text: Q 1. Let set A= (4, 8, 12, 16). Following are the relations defined on Ax A: R1= {(4,4),(8,8), (12,12), (16,16) } %3D R2= { (4,4), (1,12), (8,8), (12,12), (12,1), (16, 16) } R3= {(4,4), (12,4), (12,8),(1,8), (4,8), (8,8),(12,12), (16,16) } R4= {(12,4), (1,8), (4,8), (8,8),(12,12), (12, 8), (16,20), (4,4), (16,16) } Find out that the relations (R1, R2, R3 and Ra) is Partial order relation or not? Explain your answer using directed graph and matrix representation.

Jun 05, 2022
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