Considering A as a set which contains the elements (2,3,4,5,6,7,8}, Define a relation R from A to A by R={(xy): y is multiple of x and x#y} [Multiple means "a number that may be divided by another a certain number of times without a remainder. Example: "15, 20, are multiples of 5" a. Write R b. Depict this relation R using an arrow diagram. c. Write the matrix representation for R. d. Check whether R is reflexive, symmetric, antisymmetric.

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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Considering A as a set which contains the elements {2,3,4,5,6,7,8}, Define a relation R from A to
A by R={(xy): y is multiple of x and x#y}
[Multiple means "a number that may be divided by another a certain number of times without a
remainder. Example: "15, 20, are multiples of 5"
a. Write R
b. Depict this relation R using an arrow diagram.
c. Write the matrix representation for R.
d. Check whether R is reflexive, symmetric, antisymmetric.
Transcribed Image Text:Considering A as a set which contains the elements {2,3,4,5,6,7,8}, Define a relation R from A to A by R={(xy): y is multiple of x and x#y} [Multiple means "a number that may be divided by another a certain number of times without a remainder. Example: "15, 20, are multiples of 5" a. Write R b. Depict this relation R using an arrow diagram. c. Write the matrix representation for R. d. Check whether R is reflexive, symmetric, antisymmetric.
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