In graph theory, the Edmonds matrix of a balanced bipartite graph with sets of vertices and is defined by where the xij are indeterminates. One application of the Edmonds matrix of a bipartite graph is that the graph admits a perfect matching if and only if the polynomial det(Aij) in the xij is not identically zero. Furthermore, the number of perfect matchings is equal to the number of monomials in the polynomial det(A), and is also equal to the permanent of . In addition, rank of is equal to the maximum matching size of . The Edmonds matrix is named after Jack Edmonds. The Tutte matrix is a generalisation to non-bipartite graphs. (Wikipedia).
Introduction to Matrices | Geometry | Maths | FuseSchool
Introduction to Matrices | Geometry | Maths | FuseSchool Chances are, you have heard the word “matrices” in a movie. But do you know what they are or what they are used for? Well, “matrices” is plural of a “matrix”. And you can think about a matrix as just a table of numbers, and that’s
From playlist MATHS: Geometry & Measures
What is a matrix? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
Understanding Matrices and Matrix Notation
In order to do linear algebra, we will have to know how to use matrices. So what's a matrix? It's just an array of numbers listed in a grid of particular dimensions that can represent the coefficients and constants from a system of linear equations. They're fun, I promise! Let's just start
From playlist Mathematics (All Of It)
This video introduces the identity matrix and illustrates the properties of the identity matrix. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
From playlist Introduction to Matrices and Matrix Operations
Matrices lesson 1 - What is a matrix, dimension of a matrix, elements of a matrix.
In this lesson we introduce you to the idea of matrices (an object containing an array of numbers). We also talk about some properties / features of matrices.
From playlist Maths C / Specialist Course, Grade 11/12, High School, Queensland, Australia
How do we add matrices. A matrix is an abstract object that exists in its own right, and in this sense, it is similar to a natural number, or a complex number, or even a polynomial. Each element in a matrix has an address by way of the row in which it is and the column in which it is. Y
From playlist Introducing linear algebra
This video defines elementary matrices and then provides several examples of determining if a given matrix is an elementary matrix. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Augmented Matrices
"Optimization, Complexity and Math ... using Gradient" - Knuth Prize Lecture, STOC 2019
More videos on http://video.ias.edu
From playlist Mathematics
Motivations, connections and scope of the workshop - Avi Wigderson
Optimization, Complexity and Invariant Theory Topic: Motivations, connections and scope of the workshop Speaker: Avi Wigderson Affiliation: Institute for Advanced Study Date: June 4, 2018 For more videos, please visit http://video.ias.edu
From playlist Optimization, Complexity and Invariant Theory
Algorithms Course - Graph Theory Tutorial from a Google Engineer
This full course provides a complete introduction to Graph Theory algorithms in computer science. Knowledge of how to create and design excellent algorithms is an essential skill required in becoming a great programmer. You will learn how many important algorithms work. The algorithms are
From playlist Computer Science Concepts
Lec 19 | MIT 5.80 Small-Molecule Spectroscopy and Dynamics, Fall 2008
Lecture 19: Second-order effects Instructor: Robert Field License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 5.80 Small-Molecule Spectroscopy and Dynamics, Fall 2008
Edmonds Karp Algorithm | Network Flow | Graph Theory
Explanation video of the Edmonds-Karp network flow algorithm Ford Fulkerson video: https://www.youtube.com/watch?v=LdOnanfc5TM Next video (source code video): https://www.youtube.com/watch?v=OViaWp9Q-Oc Algorithms repository: https://github.com/williamfiset/algorithms#network-flow Vide
From playlist Network Flow playlist
An identity matrix under matrix multiplication serves a similar role to the number 1, when it comes to integer multiplication, i.e. any number times 1, remains that number. You can learn more about Mathematica on my Udemy course at https://www.udemy.com/mathematica/ PS! Wait until Udemy
From playlist Introducing linear algebra
Edmonds Karp Algorithm | Source Code
Explanation video of the Edmonds-Karp network flow algorithm with source code in Java Edmonds-Karp explanation video: https://youtu.be/RppuJYwlcI8 Ford Fulkerson explanation video: https://www.youtube.com/watch?v=LdOnanfc5TM Ford Fulkerson source code video: https://www.youtube.com/watc
From playlist Network Flow playlist
Wigner's 3j Symbols | Angular Momentum | Quantum Mechanics
In this video, we will explain the Wigner 3j symbols. In short, they are a different way to denote Clebsch–Gordan coefficients, containing the same information, but in a much more symmetrical way. References: [1] Landau, Lifshitz, "Quantum Mechanics" Pergamon Press (1991), Chapter XIV. [
From playlist Quantum Mechanics, Quantum Field Theory
Seminar on Applied Geometry and Algebra (SIAM SAGA): Avi Wigderson
For more information, see our website: http://wiki.siam.org/siag-ag/index.php/Webinar Date: Tuesday, October 12 at 11:00am Eastern time zone Speaker: Avi Wigderson, Institute for Advanced Study Title: Optimization, Complexity and Math (or, can we prove P!=NP by gradient descent?)
From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)
Geodesically Convex Optimization (or, can we prove P!=NP using gradient descent) - Avi Wigderson
Computer Science/Discrete Mathematics Seminar II Topic: Geodesically Convex Optimization (or, can we prove P!=NP using gradient descent) Speaker: Avi Wigderson Affiliation: Herbert H. Maass Professor, School of Mathematics Date: April 21, 2020 For more video please visit http://video.ias
From playlist Mathematics
Tabasco Sauce: Where did it come from? | Stuff of Genius
You might be surprised to learn that the creator of modern-day Tabasco sauce was once a banker. Yet when the Civil War wiped his fortunes away, Edmund didn't give up. He hunkered down in his garden and made the Stuff of Genius. Stuff of Genius tells the story behind everyday inventions. F
From playlist Stuff of Genius: Where did it come from?
Arrays and matrices I Data structures in Mathematics Math Foundations 164 | NJ Wildberger
We introduce the ideas of arrays and matrices as 2 dimensional data structures. In this video we define arrays as lists of lists, which is standard practice in computer science and popular programming environments. But we will go a bit beyond the usual two dimensional situation, looking al
From playlist Math Foundations