Homological algebra

Matrix factorization (algebra)

In homological algebra, a branch of mathematics, a matrix factorization is a tool used to study infinitely long resolutions, generally over commutative rings. (Wikipedia).

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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

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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

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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

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Transpose of matrices

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

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Matrix addition

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

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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

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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

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matrix choose a matrix

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

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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

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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

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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

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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

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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

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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

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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

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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"

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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)

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66 - Multiplicities of eigenvalues

Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering

From playlist Algebra 1M

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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

Related pages

Derived noncommutative algebraic geometry | Resolution (algebra) | Artin algebra | Derived category | Triangulated category | Homological algebra