Discrete Math I (Entire Course) - Discrete Math - 9.3.1 Matrix Representations of Relations and Properties
Unlock the Logic: Master Discrete Math with Kimberly Brehm – From Propositions to Graphs, Equip Yourself with Essential Problem-Solving Skills!
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18 learners
What you'll learn
Understand and apply logical operations and connectives in propositions.
Construct truth tables to evaluate compound statements and logical equivalences.
Translate complex logic statements into predicate logic with quantifiers.
Utilize set theory and functions in solving mathematical and real-world problems.
This course includes
18.5 hours of video
Certificate of completion
Access on mobile and TV
Summary
Full Transcript
How to represent a relation using a matrix and easy tips for determining if the relation is reflexive, irreflexive, symmetric, antisymetric, asymmetric and transitive. Matrix operations are also reviewed (meet, join and Boolean product).
Video Chapters:
Introduction 0:00
Matrix Representations 0:12
Matrix Representations in Reverse 3:09
Reflective Property 4:35
Irreflective Property 5:54
Symmetric Property 6:21
Anti-Symmetric Property 7:20
Asymmetric Property 8:34
Operations on Matrices 9:04
Transitive Property 15:55
Check for Understanding 17:00
Up Next 20:57
Textbook: Rosen, Discrete Mathematics and Its Applications, 7e
Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
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