Relaciones binarias. Representación matricial | 4/23 | UPV

Title: Binary Relations. Matrix Representation Description: After reviewing the definition of a binary relation, its graphical representation is introduced and examples are shown. Jordan Lluch, C. (2013). Binary Relations. Matrix Representation. http://hdl.handle.net/10251/30209 Automatic description: This video explains the matrix representation of binary relations. It begins with a review of the binary relation as a subset of the Cartesian product of two sets A and B, and points out that another video already explores this concept in depth. To represent matrix relations, the sets A and B must be finite. It describes the matrix associated with a binary relation between A and B as composed of Boolean elements (ones and zeros), where the rows correspond to the elements of A and the columns to the elements of B. A matrix element equals one if a relation exists between the corresponding pairs and zero otherwise. It is emphasized that if the relationship is between elements of the same set (A x A), the resulting matrix is square. It is mentioned that a relationship that includes all possible pairs of A x B will result in a matrix of only ones, while an empty relationship will result in a matrix of only zeros. Through examples, it is demonstrated how to construct the matrix associated with a binary relationship, identifying the related elements in A and B. Practical exercises are also shown, one with distinct sets A and B and another with elements of the same set A x A. The conclusion is the usefulness of matrix representation for analyzing and working with binary relationships, as it facilitates mathematical operations and provides a clear visualization. Author: Jordan Lluch Cristina Course: This video is 4/23 of the Binary Relationships course.    • Relaciones Binarias   Polytechnic University of Valencia (UPV): https://www.upv.es More videos at:    / valenciaupv   Access our MOOCs: https://upvx.es #Binary Relationship #Matrix Representation #APPLIED MATHEMATICS