reflexive, symmetric, transitive matrix

R is not symmetric (a) Watermelon z is… A relation can be represented by the matrix as,. M = M. EXAMPLE. Hence, R is reflexive, symmetric, and transitive R is not reflexive. The relation is transitive : (a,b) is in R and (b,a) is in R, so is (a,a). Hence, R is neither reflexive, nor symmetric, nor transitive. Matrices for reflexive, symmetric and antisymmetric relations. c. Is it a partial order? Check symmetric Which describes the end behavior of the function. 42. Check transitive R = {(x, y): 3x y = 0} Prove or disprove if this relation is reflexive, symmetric, anti-symmetric and/or transitive. Join Yahoo Answers and get 100 points today. x z is an integer. (b) No. If (x, y) R, then (y, x) R Check reflexive Check transitive If (x, y) R and (y, z) R, (x, z) R Let R be a binary relation on a set A. R is reflexive if for all x A, xRx. R is transitive. R is transitive Symmetric Property The Symmetric Property states that for all real numbers x and y , if x = y , then y = x . Hence, R is reflexive, symmetric, and transitive If x is the wife of y. R is said to be reflexive if a is related to a for all a ∈ S. R is said to be symmetric if a is related to b implies that b is related to a. R is said to be transitive if “a is related to b and b is related to c” implies that a is related to c. Ex 1.1,1(v) Representing Relations • List the elements of R. Mother-of = {(Doreen, Ann), (Ann, Catherine), (Catherine, Allison)} • Write a procedure that defines R either by: • Enumerating it. R is not symmetric If (x, y) R & (y, z) R , then (x,z) R If (x, y) R, then (y, x) R using the diagram below: the m

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