Reflexive Symmetric and Transitive Relations on a Set











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A relation from a set A to itself can be though of as a directed graph. We look at three types of such relations: reflexive, symmetric, and transitive. • A relation is reflexive if every element relates to itself, that is has a little look from itself to itself. • A relation is symmetric if whenever x relates to y, then y relates to x. This looks like every path between x and y has a path back. • A relation is transitive if whenever xRy and yRz, then xRz (this shorthands is read x relates to y and so on). This looks like every two step path has a corresponding 1 step path. • ►FULL DISCRETE MATH PLAYLIST:    • Discrete Math (Full Course: Sets, Log...   • BECOME A MEMBER: • ►Join:    / @drtrefor   • MATH BOOKS I LOVE (affilliate link): • ► https://www.amazon.com/shop/treforbazett • COURSE PLAYLISTS: • ►DISCRETE MATH:    • Discrete Math (Full Course: Sets, Log...   • ►LINEAR ALGEBRA:    • Linear Algebra (Full Course)   • ►CALCULUS I:    • Calculus I (Limits, Derivative, Integ...   • ► CALCULUS II:    • Calculus II (Integration Methods, Ser...   • ►MULTIVARIABLE CALCULUS (Calc III):    • Calculus III: Multivariable Calculus ...   • ►VECTOR CALCULUS (Calc IV)    • Calculus IV: Vector Calculus (Line In...   • ►DIFFERENTIAL EQUATIONS:    • Ordinary Differential Equations (ODEs)   • ►LAPLACE TRANSFORM:    • Laplace Transforms and Solving ODEs   • ►GAME THEORY:    • Game Theory   • OTHER PLAYLISTS: • ► Learning Math Series •    • 5 Tips To Make Math Practice Problems...   • ►Cool Math Series: •    • Cool Math Series   • SOCIALS: • ►X/Twitter: http://X.com/treforbazett • ►TikTok:   / drtrefor   • ►Instagram (photography based):   / treforphotography  

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