Algebra

Quadratic-linear algebra

In mathematics, a quadratic-linear algebra is an algebra over a field with a presentation such that all relations are sums of monomials of degrees 1 or 2 in the generators. They were introduced by Polishchuk and Positselski . An example is the universal enveloping algebra of a Lie algebra, with generators a basis of the Lie algebra and relations of the form XY – YX – [X, Y] = 0. (Wikipedia).

Video thumbnail

Linear Algebra 7.3 Quadratic Forms

My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul A. Roberts is supported in part by the grants NSF CAREER 1653602 and NSF DMS 2153803.

From playlist Linear Algebra

Video thumbnail

Linear Algebra for Beginners | Linear algebra for machine learning

Linear algebra is the branch of mathematics concerning linear equations such as linear functions and their representations through matrices and vector spaces. Linear algebra is central to almost all areas of mathematics. In this course you will learn most of the basics of linear algebra wh

From playlist Linear Algebra

Video thumbnail

Linear Algebra Full Course for Beginners to Experts

Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis may be basically viewed as the application of l

From playlist Linear Algebra

Video thumbnail

What is linear algebra?

This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.

From playlist Linear algebra: theory and implementation

Video thumbnail

7A_1 Linear Algebra Definitons

Definitions used in linear algebra

From playlist Linear Algebra

Video thumbnail

Linear Algebra for Beginners

Linear algebra is the branch of mathematics concerning linear equations such as linear functions and their representations through matrices and vector spaces. Linear algebra is central to almost all areas of mathematics. Topic covered: Vectors: Basic vectors notation, adding, scaling (0:0

From playlist Linear Algebra

Video thumbnail

Linear Algebra 7d: Relationship among Four Quadratic Polynomials

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications

Video thumbnail

7A_2 Linear Algebra Definitions

"linear algebra" "matrix equations" "linear set" "set linear equations" linear algebra matrix equation linear set equations "triangular matrix" "square matrix" "main diagonal" homogenous consistent triangular square "elemetary matrix" elementary row echelon reduced

From playlist Linear Algebra

Video thumbnail

Determining if a vector is a linear combination of other vectors

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Determining if a vector is a linear combination of other vectors

From playlist Linear Algebra

Video thumbnail

Landau-Ginzburg - Seminar 5 - From quadratic forms to bicategories

This seminar series is about the bicategory of Landau-Ginzburg models LG, hypersurface singularities and matrix factorisations. In this seminar Dan Murfet starts with quadratic forms and introduces Clifford algebras, their modules and bimodules and explains how these fit into a bicategory

From playlist Metauni

Video thumbnail

Tobias Braun - Orthogonal Determinants

Basic concepts and notions of orthogonal representations are in- troduced. If X : G → GL(V ) is a K-representation of a nite group G it may happen that its image X(G) xes a non-degenerate quadratic form q on V . In this case X and its character χ : G → K, g 7 → trace(X(g)) are called ortho

From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory

Video thumbnail

Seminar on Applied Geometry and Algebra (SIAM SAGA): Bernd Sturmfels

Date: Tuesday, February 9 at 11:00am EST (5:00pm CET) Speaker: Bernd Sturmfels, MPI MiS Leipzig / UC Berkeley Title: Linear Spaces of Symmetric Matrices. Abstract: Real symmetric matrices appear ubiquitously across the mathematical sciences, and so do linear spaces of such matrices. We

From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)

Video thumbnail

Linear Algebra 2i: Polynomials Are Vectors, Too!

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications

Video thumbnail

Algebraic and Convex Geometry of Sums of Squares on Varieties (Lecture 4) by Greg Blekherman

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is the study o

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

Video thumbnail

Sylvester-Gallai Problem for Quadratic Polynomials by Shir Peleg-Schatzman

Discussion Meeting Workshop on Algebraic Complexity Theory  ORGANIZERS Prahladh Harsha, Ramprasad Saptharishi and Srikanth Srinivasan DATE & TIME 25 March 2019 to 29 March 2019 VENUE Madhava Lecture Hall, ICTS Bangalore Algebraic complexity aims at understanding the computationa

From playlist Workshop on Algebraic Complexity Theory 2019

Video thumbnail

Quadratic Form Minimization: A Calculus-Based Derivation

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 4 Linear Algebra: Inner Products

Video thumbnail

Maxima and Minima for Quadratic and Cubics | Algebraic Calculus One | Wild Egg

Tangents of algebraic curves are best defined purely algebraically, without recourse to limiting arguments! We apply our techniques for finding such tangents to derive some familiar results for quadratic and cubic polynomial functions and their maxima and minima. We compare also with the c

From playlist Algebraic Calculus One

Video thumbnail

Linear algebra: Prove the Sherman-Morrison formula for computing a matrix inverse

This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.

From playlist Linear algebra: theory and implementation

Video thumbnail

Livestream - Chapter 3 (3.3, 3.4): Equations and inequalities - AS/Year 12 Mathematics Revision

Join me in the live streams as I work through the AS/Year 1 content of the A-level curriculum. playlist: https://www.youtube.com/watch?v=pxXkSX0AUtI&list=PLm4auYJQkF_pVlr8KbCxXAFdj69Aukuzg Chapter 3: Equations and inequalities graphing simultaneous equations linear inequalities

From playlist AS/Year 12 Summer Series

Related pages

Lie algebra | Algebra over a field | Universal enveloping algebra | Presentation of a group