Equivalence Relation in Discrete Mathematics with examples

🔹 Gate Smashers Shorts: Watch quick concepts & short videos here:    / @gatesmashersshorts   🔹 Subscribe for more shorts and motivational content:    / @varunainashots   A relation R on a set A is said to be an equivalence relation if and only if the relation R is reflexive, symmetric and transitive. Reflexive: A relation is said to be reflexive, if (a, a) ∈ R, for every a ∈ A. Symmetric: A relation is said to be symmetric, if (a, b) ∈ R, then (b, a) ∈ R. Transitive: A relation is said to be transitive if (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R ►Discrete Mathematics(Complete Playlist):    • Discrete Mathematics   Other subject-wise playlist Links: -------------------------------------------------------------------------------------------------------------------------------------- ►Design and Analysis of algorithms (DAA):    • Design and Analysis of algorithms (DAA)   ►Database Management System:    • DBMS (Database Management system) Complete...   ► Software Engineering:    • Software Engineering   ►Artificial Intelligence:    • Artificial Intelligence (Complete Playlist)   ►Computer Networks:    • Computer Networks (Complete Playlist)   ►Operating System:    • Operating System (Complete Playlist)   ►Structured Query Language (SQL):    • Structured Query Language (SQL)   ►Digital Logic:    • Digital Logic (Complete Playlist)   ►Number System :    • Number system   ►Theory of Computation :    • TOC(Theory of Computation)   ►Cloud Computing & BIG Data:    • Cloud Computing (Complete Course)   ►Programming in C :    • C Programming   ►Data Structure:    • Data Structure   ►Computer Architecture :    • Computer Organization and Architecture (Co...   ►Graph Theory :    • Graph Theory   ►Compiler Design:    • Compiler Design (Complete Playlist)   --------------------------------------------------------------------------------------------------------------------------------------- Our social media Links: ► Subscribe to us on YouTube:    / gatesmashers   ►Subscribe to our new channel:    / @varunainashots   ► Like our page on Facebook:   / gatesmashers   ► Follow us on Instagram:   / gate.smashers   ► Follow us on Instagram:   / varunainashots   ► Follow us on Telegram: https://t.me/gatesmashersofficial ► Follow us on Threads: https://www.threads.net/@gate.smashers -------------------------------------------------------------------------------------------------------------------------------------- ►For Any Query, Suggestion or notes contribution: Email us at: [email protected] #EquivalenceRelation #discreteMathematics #discrete_mathematics #discretemathematicsgate