b) Let A = {1, 2, 3, 4} and R be a relation on A described by the matrix below. [1 0 0 1] 0 0 0 1 MR 0 1 1 0 Lo 1 0 o] (i) Find the reflexive closure and the symmetric closure of R. Write your answers in matrix form. (ii) Use Warshall's algorithm to compute the matrix of transitive closure of R.

b) Let A = {1, 2, 3, 4} and R be a relation on A described by the matrix below. [1 0 0 1] 0 0 0 1 MR 0 1 1 0 Lo 1 0 o] (i) Find the reflexive closure and the symmetric closure of R. Write your answers in matrix form. (ii) Use Warshall's algorithm to compute the matrix of transitive closure of R.

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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Question

b)
Let A = {1, 2, 3, 4} and R be a relation on A described by the matrix below.
[1 0 0 1]
0 0 0 1
MR
0 1 1 0
Lo 1 0 ol
(i)
Find the reflexive closure and the symmetric closure of R. Write your
answers in matrix form.
(ii)
Use Warshall's algorithm to compute the matrix of transitive closure of R.

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