Mathematics Homework Solutions
Problem
#59663

Matrices : Union, Intersection, Composition and Symmetric Different

Let R1 and R2 be relations on a set A. represented by the matrices:


M R1     0 1 0                         M R2     0 1 0                        
1 1 1 0 1 1
1 0 0 1 1 1

find the matrices that represent ( show all work)

a) R1 union R2
b) R1 intersection R2
c) R2 º R1    (composition)
d) R1 º R1    (composition)
e) R1   symmetric different R2

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Let R1 and R2 be relations on a set A. represented by the matrices:

M R1 0 1 0 M R2 0 1 0


1 1 1 0 1 1

1 0 0 1 1 1

find the matrices that represent ( show all work)

a) R1 union R2

b) R1 intersection R2

c) R2 Ñ” R1 (composition)

d) R1 Ñ” R1 (composition)

e) R1 symmetric different R2

Solution Summary

Matrices, Union, Intersection, Composition and Symmetric Different are investigated.

Solution
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