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
Mathematics Homework Solutions
#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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Matrices, Union, Intersection, Composition and Symmetric Different are investigated.
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