Let A = {a, b, c, d, e,f} and P be the relation on A defined by the matrix given below. [1 0 0 1 1 01 0 0 1 10 o |1 1 1 0 0 o Mp = 1 1 0 0 1 1 0 1 0 10 1 li 0 1 1 0 1 (i) Find the reflexive closure and the symmetric closure of P. (ii) Use Warshall's algorithm to compute the transitive closure of P.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.5: Applications
Problem 30EQ
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Please answer both two subparts

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2)
Let A = {a, b, c, d, e,f} and P be the relation on A defined by the matrix given below.
[1 0 0 1 1 01
0 0 1 1 0 o
|1 1 1 0 0 o
Mp
1 10 0 1 1
0 1 0 1 0 1
li 0 1 1 0 1
(i)
Find the reflexive closure and the symmetric closure of P.
(ii)
Use Warshall's algorithm to compute the transitive closure of P.
Transcribed Image Text:2) Let A = {a, b, c, d, e,f} and P be the relation on A defined by the matrix given below. [1 0 0 1 1 01 0 0 1 1 0 o |1 1 1 0 0 o Mp 1 10 0 1 1 0 1 0 1 0 1 li 0 1 1 0 1 (i) Find the reflexive closure and the symmetric closure of P. (ii) Use Warshall's algorithm to compute the transitive closure of P.
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