Determine the matrix representation and digraph for each of the following relations on { A, B, C, D }. R1 = { ( A, A ), ( A, B ), ( B, B ), ( B, C ), ( C, C ).R2 = { ( A, A ), ( A, B ), ( B, A ), ( B, B ), ( B, D ), ( C, A ), ( C, D ), ( D, C ) }R3 = { ( A, B ), ( A, C ), ( B, A ), ( B, D ), ( C, A ), ( C, C ), ( D, A ), ( D, B ), ( D, D ) }.

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Answered: Determine the matrix representation and…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Determine the matrix representation and digraph for each of the following relations on { A, B, C, D }.

R₁ = { ( A, A ), ( A, B ), ( B, B ), ( B, C ), ( C, C ).
R₂ = { ( A, A ), ( A, B ), ( B, A ), ( B, B ), ( B, D ), ( C, A ), ( C, D ), ( D, C ) }
R₃ = { ( A, B ), ( A, C ), ( B, A ), ( B, D ), ( C, A ), ( C, C ), ( D, A ), ( D, B ), ( D, D ) }.

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