Let A = {p, q, r, s} and the relation R on A is represented by the matrix 0 0 1 1 c) 0 1 0 0 MR . Find the matrix of the transitive closure of R by using Warshall's 1 0 0 1 0 1 0 1) algorithm.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...
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Let A = {p, q, r, s} and the relation R on A is represented by the matrix
(0 0 1 1
c)
%3!
0 1 0 0
. Find the matrix of the transitive closure of R by using Warshall's
1 0 0 1
0 10 1
algorithm.
Transcribed Image Text:Let A = {p, q, r, s} and the relation R on A is represented by the matrix (0 0 1 1 c) %3! 0 1 0 0 . Find the matrix of the transitive closure of R by using Warshall's 1 0 0 1 0 10 1 algorithm.
d)
Let A = {a, b, c, d} and let R and S be the relations on A whose matrices are
(1 0 1 0)
(1 0 1 0
0 1 0 1
1 0 0 1
MR
and Ms
Find the matrices of
10 1 0
0 1
1
01 0 1
0 1 0 1
(i)
RUS,
(ii)
Ro S,
(iii)
(S o R)*.
Transcribed Image Text:d) Let A = {a, b, c, d} and let R and S be the relations on A whose matrices are (1 0 1 0) (1 0 1 0 0 1 0 1 1 0 0 1 MR and Ms Find the matrices of 10 1 0 0 1 1 01 0 1 0 1 0 1 (i) RUS, (ii) Ro S, (iii) (S o R)*.
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