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 0 1 1 0 1 0) 0 1 0 1 and Ms . Find the matrices of 1 0 1 0 0 1 1 0 0 1 0 1) 0 10 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question
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
M ,
and Ms
Find the matrices of
0 1 1 0
0 10 1
1 0 1
(0 1 0 1
(i)
RUS,
(ii)
Ro S,
(iii) (SoR)".
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 M , and Ms Find the matrices of 0 1 1 0 0 10 1 1 0 1 (0 1 0 1 (i) RUS, (ii) Ro S, (iii) (SoR)".
Expert Solution
Step 1

The set is A = {a, b, c, d}.

The matrices representing the relations R and S, respectively, are as follows:

MR=1010010110100101MS=1010100101100101

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