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)Â 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) Â 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
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