In mathematics, an Alexander matrix is a presentation matrix for the Alexander invariant of a knot. The determinant of an Alexander matrix is the Alexander polynomial for the knot. (Wikipedia).
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)
Linear Algebra for Computer Scientists. 12. Introducing the Matrix
This computer science video is one of a series of lessons about linear algebra for computer scientists. This video introduces the concept of a matrix. A matrix is a rectangular or square, two dimensional array of numbers, symbols, or expressions. A matrix is also classed a second order
From playlist Linear Algebra for Computer Scientists
Definition of a matrix | Lecture 1 | Matrix Algebra for Engineers
What is a matrix? Join me on Coursera: https://www.coursera.org/learn/matrix-algebra-engineers Lecture notes at http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1
From playlist Matrix Algebra for Engineers
1.6 Arrays and matrices in R | statistical analysis and data science course Rstudio | Dimensional
In this chapter of the video series in the crash course in statistics and data science with R / Rstudio we will see the definition, utilization, and importance of arrays with R. Also, we discuss their extension from vectors to matrices. Part 1: Definition - What is an array? - Array or
From playlist R Tutorial | Rstudio
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
2 Construction of a Matrix-YouTube sharing.mov
This video shows you how a matrix is constructed from a set of linear equations. It helps you understand where the various elements in a matrix comes from.
From playlist Linear Algebra
PreCalculus - Matrices & Matrix Applications (1 of 33) What is a Matrix? 1
Visit http://ilectureonline.com for more math and science lectures! In this video I will define what is a matrix and its rows and columns. Next video in the Matrices series can be seen at: http://youtu.be/YTV7ei1hyJI
From playlist Michel van Biezen: PRECALCULUS 12 - MATRICES
Matrix Groups (Abstract Algebra)
Matrices are a great example of infinite, nonabelian groups. Here we introduce matrix groups with an emphasis on the general linear group and special linear group. The general linear group is written as GLn(F), where F is the field used for the matrix elements. The most common examples
From playlist Abstract Algebra
Yi Liu: On the L2-Alexander torsion of 3-manifolds
For an irreducible orientable compact 3-manifold with empty or incompressible toral boundary, the full L2-Alexander torsion associated to any real first cohomology class of that manifold is represented by a function of a positive real variable. In this talk, I will discuss some ideas to sh
From playlist HIM Lectures: Junior Trimester Program "Topology"
Untangling the beautiful math of KNOTS
Visit ► https://brilliant.org/TreforBazett/ to help you learn STEM topics for free, and the first 200 people will get 20% off an annual premium subscription. Check out my MATH MERCH line in collaboration with Beautiful Equations ►https://www.beautifulequation.com/pages/trefor Suppose yo
From playlist Cool Math Series
Max Zahoransky von Worlik: The Alexander Polynomial for Knots in the 3-Torus
Max Zahoransky von Worlik, Technische Universitat Berlin Title: The Alexander Polynomial for Knots in the 3-Torus In this talk I will explain how to obtain diagrammatic representations for knots and links in the 3-torus. This includes a discussion of how one can obtain a complete set of is
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Dawid Kielak: Alexander and Thurston norms, and the Bieri-Neumann-Strebel invariants ...
The universal L2-torsion, introduced by Friedl and Lück, allows for an extension of the Thurston norm from the setting of 3-manifolds to that of free-by-cyclic groups. We will discuss this extension, and show that this norm and the Alexander norm for F2-by-ℤ satisfy an inequality analogous
From playlist HIM Lectures: Junior Trimester Program "Topology"
Charles Stine: The Complexity of Shake Slice Knots
Charles Stine, Brandeis University Title: The Complexity of Shake Slice Knots It is a well studied conjecture that a shake slice knot is in fact slice. Many counterexamples have been given, but most are close to being slice in a technical sense. In this talk, we will give a precise way to
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Estelle Basor: Toeplitz determinants, Painlevé equations, and special functions. Part I - Lecture 2
Title: Toeplitz determinants, Painlevé equations, and special functions. Part I: an operator approach - Lecture 2 Abstract: These lectures will focus on understanding properties of classical operators and their connections to other important areas of mathematics. Perhaps the simplest exam
From playlist Analysis and its Applications
Jon Keating: Random matrices, integrability, and number theory - Lecture 3
Abstract: I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an imp
From playlist Analysis and its Applications
MIT 6.S191: Recurrent Neural Networks and Transformers
MIT Introduction to Deep Learning 6.S191: Lecture 2 Recurrent Neural Networks Lecturer: Ava Soleimany January 2022 For all lectures, slides, and lab materials: http://introtodeeplearning.com Lecture Outline 0:00 - Introduction 1:59 - Sequence modeling 4:16 - Neurons with recurrence 10
From playlist Introduction to Machine Learning
Coulomb Gas, Integrability and Painleve's Equations: shorts talks
1. Alfano Giusi: Log-gases with two-particle interactions and communication speed of multiantenna wireless systems. 2. Arista Jonas: Loop-erased walks and random matrices. 3. Benassi Constanza: Dispersive Shock States in Matrix Models. 4. Celsus Andrew: Supercritical Regime for the Kissing
From playlist Jean-Morlet Chair - Grava/Bufetov
A survey of quandle theory by Mohamed Elhamdadi
PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onli
From playlist Knots Through Web (Online)
Matrix Algebra Basics || Matrix Algebra for Beginners
In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns. This course is about basics of matrix algebra. Website: https://geekslesson.com/ 0:00 Introduction 0:19 Vectors and Matrices 3:30 Identities and Transposes 5:59 Add
From playlist Algebra