In homological algebra, a branch of mathematics, a matrix factorization is a tool used to study infinitely long resolutions, generally over commutative rings. (Wikipedia).
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
Determine the Product of a Matrix and Vector using the Diagonalization of the Matrix
This video explains how to use the diagonalization of a 2 by 2 matrix to find the product of a matrix and a vector given matrix P and D.
From playlist The Diagonalization of Matrices
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
In this very easy and short tutorial I explain the concept of the transpose of matrices, where we exchange rows for columns. The matrices have some properties that you should be aware of. These include how to the the transpose of the product of matrices and in the transpose of the invers
From playlist Introducing linear algebra
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
9A_4 The Inverse of a Matrix Using the Determinant
Calculating the inverse of a matrix by use of the determinant of the matrix
From playlist Linear Algebra
Algebra - Ch. 6: Factoring (2 of 55) What is Factoring?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is factoring. Factoring is the process of taking a number or an expression and writing it as a product of it's factor. (It is the reverse of applying the distributive property.) To donat
From playlist ALGEBRA CH 6 FACTORING
matrix choose a matrix. Calculating the number of matrix combinations of a matrix, using techniques from linear algebra like diagonalization, eigenvalues, eigenvectors. Special appearance by simultaneous diagonalizability and commuting matrices. In the end, I mention the general case using
From playlist Eigenvalues
Diagonalization of matrices | Lecture 35 | Matrix Algebra for Engineers
How to diagonalize a matrix using eigenvalues and eigenvectors. 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
From playlist Matrix Algebra for Engineers
LC001.03 - Clifford algebras and matrix factorisations
A brief introduction to Clifford algebras, their universal property, how to construct a Clifford algebra from the Hessian of a quadratic form, and how modules over that Clifford algebra determine matrix factorisations. This video is a recording made in a virtual world (https://www.roblox.
From playlist Metauni
Matrix factorisations and quantum error correcting codes
In this talk Daniel Murfet gives a brief introduction to matrix factorisations, the bicategory of Landau-Ginzburg models, composition in this bicategory, the Clifford thickening of a supercategory and the cut operation, before coming to a simple example which shows the relationship between
From playlist Metauni
Lecture 16 - Linear Algebra Review
This is Lecture 16 of the CSE519 (Data Science) course taught by Professor Steven Skiena [http://www.cs.stonybrook.edu/~skiena/] at Stony Brook University in 2016. The lecture slides are available at: http://www.cs.stonybrook.edu/~skiena/519 More information may be found here: http://www
From playlist CSE519 - Data Science Fall 2016
Landau-Ginzburg - Seminar 6 - Matrix factorisations and geometry
This seminar series is about the bicategory of Landau-Ginzburg models LG, hypersurface singularities and matrix factorisations. In this seminar Rohan Hitchcock defines matrix factorisations and gives some examples, and explains how to extract an algebraic set from a matrix factorisation.
From playlist Metauni
Polynomials, Matrices and Pascal Arrays | Algebraic Calculus One | Wild Egg
We introduce some basic orientation towards polynomials and matrices in the context of the Pascal-type arrays that figured in our analysis of the Faulhaber polynomials and Bernoulli numbers in the previous video. The key is to observe some beautiful factorizations that occur involving diag
From playlist Algebraic Calculus One from Wild Egg
High-Performance Polynomial Algebra
The upcoming release of Mathematica includes significant performance improvements in polynomial algebra functions and in linear algebra for matrices of univariate polynomials. The release also includes functionality extensions in polynomial algebra over Zp. The improvements and extensions
From playlist Wolfram Technology Conference 2022
Winter School JTP: Homological mirror symmetry for not-so-simple singularities, Yanki Lekili
In a joint work with Ueda, we outlined a set of explicit conjectures that precisely explain how homological mirror symmetry should work for Milnor fibers of invertible polynomials. We can prove these conjectures in a number of interesting cases such as the case of simple singularities (in
From playlist Winter School on “Connections between representation Winter School on “Connections between representation theory and geometry"
Advice for research mathematicians | The joy of maxel number theory: Chebyshev polys I | Wild Egg
We are advocating a larger view of number theory which goes from arithmetic with numbers to polynumbers to maxels. In this lecture we have a look at the Chebyshev polynumbers of the first kind from this larger linear algebraic point of view. Some surprises are in store! ******************
From playlist Maxel inverses and orthogonal polynomials (non-Members)
66 - Multiplicities of eigenvalues
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Matrix Addition, Subtraction, and Scalar Multiplication
This video shows how to add, subtract and perform scalar multiplication with matrices. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
From playlist Introduction to Matrices and Matrix Operations