Matrix representation

What is a Matrix?

What is a matrix? Free ebook http://tinyurl.com/EngMathYT

From playlist Intro to Matrices

Ch7Pr38: Matrix Representation Theorem

This video answers four questions regarding properties of a linear transformation, its image, rank and nullity. This is Chapter 7 Problem 38 from the MATH1231/1241 Algebra notes. Presented by Dr Thomas Britz from the UNSW School of Mathematics and Statistics.

From playlist Mathematics 1B (Algebra)

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

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

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)

Column space of a matrix

We have already looked at the column view of a matrix. In this video lecture I want to expand on this topic to show you that each matrix has a column space. If a matrix is part of a linear system then a linear combination of the columns creates a column space. The vector created by the

From playlist Introducing linear algebra

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

Using a Matrix Equation to Solve a System of Equations

This video shows how to solve a system of equations by using a matrix equation. The graphing calculator is integrated into the lesson. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/

From playlist Matrix Equations

Introduction to Matrix Transformations

This video defines a matrix transformation, linear transformation and provides example on how to find images of a transformation.

From playlist Matrix (Linear) Transformations

Piotr Sniady: Representation theory from the random matrix perspective

Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: In many cases a representation of a group can be viewed as a "random matrix with non-commutative entries". This viewpoint gives a heuristic explanation for many links

From playlist Noncommutative geometry meets topological recursion 2021

How to use Group Theory in Physics ?

Group theory in Physics, an introduction (#SoME1) Timestamps: 0:00 - Introduction 0:30 - Defining the problem 1:04 - Equation we want to solve 2:44 - Symmetries of the molecule 6:06 - What is a Group ? 7:31 - What is a Representation ? 9:24 - What is a reducible Representation ? 12:52 - D

From playlist Summer of Math Exposition Youtube Videos

Math 060 Fall 2017 102517C Matrix Representations and Similarity

Definition of linear operator. Matrix representation of a linear operator. Main question: is there a relation between the different matrix representations? Recall notion of transition matrix (between coordinate vectors). Main theorem: matrix representations of linear operators are simi

From playlist Course 4: Linear Algebra (Fall 2017)

57 - Compatability with operations on matrix representations

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

From playlist Algebra 1M

RT8.1. Schur Orthogonality Relations

Representation Theory of Finite Groups: As a first step to Fourier analysis on finite groups, we state and prove the Schur Orthogonality Relations. With these relations, we may form an orthonormal basis of matrix coefficients for L^(G), the set of functions on G. We also define charac

From playlist *** The Good Stuff ***

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

State Space to Transfer Function

In this video we show how to transform a linear state space representation of a dynamic system to an equivalent transfer function representation. We will derive the transformation of G(s) = C*(s*I-A)^-1*B+D. We will apply this to an example and show how to use Matlab’s various functions

From playlist Control Theory

Calogero Particles and Fluids: A Review (Lecture 2) by Alexios Polychronakos

PROGRAM: INTEGRABLE SYSTEMS IN MATHEMATICS, CONDENSED MATTER AND STATISTICAL PHYSICS ORGANIZERS: Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE : 16 July 2018 to 10 August 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore

From playlist Integrable​ ​systems​ ​in​ ​Mathematics,​ ​Condensed​ ​Matter​ ​and​ ​Statistical​ ​Physics

Mathematical representations and models: Professor Jared Tanner, Oxford University

Professor Jared Tanner is University Liaison Director (Oxford) at The Alan Turing Institute. He obtained his PhD (2002) in applied mathematics at the University of California at Los Angeles, and was a postdoctoral fellow at the University of California at Davis (Maths) and Stanford Univers

From playlist Data science classes

Seminar on Applied Geometry and Algebra (SIAM SAGA): Cynthia Vinzant

Title: Symmetry and Determinantal Polynomials Speaker: Cynthia Vinzant, University of Washington Date: Tuesday, January 11, 2022 at 11:00am Eastern Abstract: Symmetry appears in many ways in the study of matrix spaces and determinantal representations. A multivariate polynomial is called

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

Fitting Models to Data and Matrix Multiplication

From playlist Introduction to Matrix Methods in Machine Learning