# how to tell if a matrix is transitive

Expert Answer . A set or a matrix can be reflective and transitive, and thus can be said an equivalence set. to itself, there is a path, of length 0, from a vertex to itself.). (3) is valid when the elements of an arbitrary row (resp. and where is exactly the wrong in my code ? A transitive verb takes a direct object; that is, the verb transmits action to an object. A relation R is symmetric if the transpose of relation matrix is equal to its original relation matrix. Is there fast way to figure out which individuals are in some way related? This is how to check : ... Could any one please tell me why the output is always transitive (true) ! In contrast, an intransitive verb never takes an object. Transitive law, in mathematics and logic, any statement of the form “If aRb and bRc, then aRc,” where “R” is a particular relation (e.g., “…is equal to…”), a, b, c are variables (terms that may be replaced with objects), and the result of replacing a, b, and c with objects is always a true sentence. He sent the letter. Assume A={1,2,3,4} NE a11 a12 a13 a14 a21 a22 a23 a24 a31 a32 a33 a34 a41 a42 a43 a44 SW. R is reflexive iff all the diagonal elements (a11, a22, a33, a44) are 1. How can you tell if a matrix is transitive? The code first reduces the input integers to unique, 1-based integer values. I don't know what you mean by "reflexive for a,a b,b and c,c. Take the matrix Mx A matrix for the relation R on a set A will be a square matrix. Try it online! For a binary matrix in R, is there a fast/efficient way to make a matrix transitive? This undirected graph is defined as the complete bipartite graph . An antisymmetric matrix is a Matrix which satisfies the identity (1) where is the Matrix Transpose. 0 0. column) are perturbed. I read the file into 2-D array with no problems but I want to check if the matrix is transitive or not. A relation follows join property i.e. transitive matrix A appear in the kth row and in the kth column (k=D1) then using an orthogonaltransformation by a permutation matrixP the kth row and the kth column can be transformed into the ﬁrst ones and the perturbed matrix remains in SR. transitivity is aRb, bRc then aRc. Since only a, b, and c are in the base set, and the relation contains (a,a), (b,b), and (c,c), yes, it is reflexive. A transitive verb, used with a direct object, transmits action to an object and may also have an indirect object, which indicates to or for whom the action is done. adjacency relations, which relate an entity of dimension k (k = 1,2, ... thus connectedness is reflexive as well as symmetric and transitive. This is one of the matrices that I have to determinewhether or not it is transitive, I have determined that the matrixis transitive. A relation is reflexive if and only if it contains (x,x) for all x in the base set. Transitive verbs. Thanks in advance :) java method. Share. Previous question Next question Get more help from Chegg. the join of matrix M1 and M2 is M1 V M2 which is represented as R1 U R2 in terms of relation. For example, say we have a square matrix of individuals, and a 1 in a row/column means that they are related. The general antisymmetric matrix is … That is, if [i, j] == 1, and [i, k] == 1, set [j, k] = 1. M R = (M R) T. A relation R is antisymmetric if either m ij = 0 or m ji =0 when i≠j. i.e. In component notation, this becomes (2) Letting , the requirement becomes (3) so an antisymmetric matrix must have zeros on its diagonal. Thus, Eq. Complete bipartite graph ) for all x in the base set exactly the wrong in my code a b b. 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