B2. (a) [2 Marks ] Show that the relation R in the set {1,2,3} given by R = { (1,1),(2,2),(3,2),(1,2),(1,2), (2,3)) is symmetric but neither reflexive nor transitive. (b) [1 Mark] Find the matrix representing the relations SoR where the matrices representing R and S are 101 0 10 and Ms 0 00 MR 110 001 101

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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B2. (a) [2 Marks ] Show that the relation R in the set (1,2,3} given
by R = { (1,1),(2,2),(3,2),(1,2),(1,2),(2,3)} is symmetric but neither
reflexive nor transitive.
(b) [1 Mark] Find the matrix representing the relations SoR
where the matrices representing R and S are
101
0 10
MR
and Ms
110
%3D
001
%3D
0 0.
101
Transcribed Image Text:B2. (a) [2 Marks ] Show that the relation R in the set (1,2,3} given by R = { (1,1),(2,2),(3,2),(1,2),(1,2),(2,3)} is symmetric but neither reflexive nor transitive. (b) [1 Mark] Find the matrix representing the relations SoR where the matrices representing R and S are 101 0 10 MR and Ms 110 %3D 001 %3D 0 0. 101
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