MAT 230 Homework True or False? Relation is just another term for function. True False Determine if the relation R on the set of all real numbers is reflexive, symmetric, antisymmetric, and/or...

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MAT 230 Homework True or False? Relation is just another term for function. True False Determine if the relation R on the set of all real numbers is reflexive, symmetric, antisymmetric, and/or transitive where (x,y) R if and only if x + y = 0. reflexive symmetric antisymmetric transitive Determine if the relation R on the set of all real numbers is reflexive, symmetric, antisymmetric, and/or transitive where (x,y) R if and only if x = 1.


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MAT 230 Homework True or False? Relation is just another term for function. True False Determine if the relation R on the set of all real numbers is reflexive, symmetric, antisymmetric, and/or transitive where (x,y)  R if and only if x + y = 0. reflexive symmetric antisymmetric transitive Determine if the relation R on the set of all real numbers is reflexive, symmetric, antisymmetric, and/or transitive where (x,y)  R if and only if x = 1. reflexive symmetric antisymmetric transitive Find the Boolean product of the two matrices Find the matrix that represents R on {1,2,3} where aRb means True or False? We create a closure of a relation R with respect to a property by adding elements to R that make the property true (e.g., makes the relation reflexive or symmetric). True False True or False? A relation of a set A is called an equivalence relation if it is reflexive, antisymmetric, and transitive. True False True or False? The following relation is an equivalence relation: {(0,0),(1,1),(2,2),(3,3)} True False True or False? The difference between an equivalence relation and a partial ordering is that the partial ordering is antisymmetric rather than symmetric. True False True or False? The relation represented by this zero-one matrix is a partial order: True False



Answered Same DayDec 20, 2021

Answer To: MAT 230 Homework True or False? Relation is just another term for function. True False Determine if...

Robert answered on Dec 20 2021
124 Votes
MAT 230 Quiz 1
MAT 230 Homework
1. True or False? Relation is just another term for function.
a.
True
b. False
Ans: True (every function is a relation but every relation is not a function)
2. Determine if the relation R on the set of all real numbers is reflexive, symmetric, antisymmetric, and/or transitive where (x,y) 
Î
R if and only if x + y = 0.
a. reflexive
b. symmetric
c. antisymmetric
d. transitive
Ans: Symmetric
3. Determine if the relation R on the set of all real numbers is reflexive, symmetric, antisymmetric, and/or transitive where (x,y)
Î
 R if and only if x = 1.
a. reflexive
b. symmetric
c. antisymmetric
d. transitive
Ans: Antisymmetric
4. Find the Boolean product of the two matrices...
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