Matrices

Irregular matrix

An irregular matrix, or ragged matrix, is a matrix that has a different number of elements in each row. Ragged matrices are not used in linear algebra, since standard matrix transformations cannot be performed on them, but they are useful as arrays in computing. Irregular matrices are typically stored using Iliffe vectors. For example, the following is an irregular matrix: (Wikipedia).

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What is a Matrix?

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

From playlist Intro to Matrices

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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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Matrix of a matrix

Calculating the matrix of a linear transformation with respect to a basis B. Here is the case where the input basis is the same as the output basis. Check out my Vector Space playlist: https://www.youtube.com/watch?v=mU7DHh6KNzI&list=PLJb1qAQIrmmClZt_Jr192Dc_5I2J3vtYB Subscribe to my ch

From playlist Linear Transformations

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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

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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

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Example of Rational Canonical Form 2: Several Blocks

Matrix Theory: Let A be a 12x12 real matrix with characteristic polynomial (x^2+1)^6, minimal polynomial (x^2 + 1)^3, and dim(Null(A^2 + I)) = 6. Find all possible rational canonical forms for A.

From playlist Matrix Theory

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William Chen: Billiard orbits and geodesics in non-integrable flat dynamical systems (part 2)

VIRTUAL LECTURE Recording during the meeting "Discrepancy Theory and Applications" Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywo

From playlist Jean-Morlet Chair - Tichy/Rivat

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Many Nodal Domains in Random Regular Graphs by Nikhil Srivastava

COLLOQUIUM MANY NODAL DOMAINS IN RANDOM REGULAR GRAPHS SPEAKER: Nikhil Srivastava (University of California, Berkeley) DATE: Tue, 21 December 2021, 16:30 to 18:00 VENUE:Online Colloquium ABSTRACT Sparse random regular graphs have been proposed as discrete toy models of physical sys

From playlist ICTS Colloquia

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Differential Equations | Homogeneous System of Differential Equations Example 2

We solve a homogeneous system of linear differential equations with constant coefficients using the matrix exponential. In this case the associated matrix is 2x2 and not diagonalizable. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Systems of Differential Equations

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Jean-Pierre Ramis - The Mano Decompositions...

The Mano Decompositions and the Space of Monodromy Data of the q-Painlevé V I Equation The talk is based upon a joint work with Y. OHYAMA and J. SAULOY. Classically the space of Monodromy data (or character variety) of PV I (the sixth Painlevé differential equation) is the space of linear

From playlist Resurgence in Mathematics and Physics

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Complex Matrices ( An intuitive visualization )

Complex Matrices are not given enough credit for what they do and even when they are used its often introduced as an foreign entity. This video was made to shed light on such a misinterpreted topic. Timestamps 00:00 - Introduction 00:11 - Matrix 00:45 - Complex Number 02:50 - Complex Ma

From playlist Summer of Math Exposition Youtube Videos

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Lecture 11: Digital Geometry Processing (CMU 15-462/662)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/

From playlist Computer Graphics (CMU 15-462/662)

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Gabriele Rembado - Moduli Spaces of Irregular Singular Connections: Quantization and Braiding

Holomorphic connections on Riemann surfaces have been widely studied, as well as their monodromy representations. Their moduli spaces have natural Poisson/symplectic structures, and they can be both deformed and quantized: varying the Riemann surface structure leads to the action of mappin

From playlist Workshop on Quantum Geometry

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Nonlinear Dynamics of Complex Systems:

Multi-Dimensional Time Series, Network Inference and Nonequilibrium Tipping - by Prof. Marc Timme - Lecture III

From playlist Networked Complexity

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Unfolding of the moduli space of unramified irregular singular connections by M.Inaba

Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries

From playlist Quantum Fields, Geometry and Representation Theory

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Duco van Straten: CY-motives and differential equations

conference Recorded during the meeting "D-Modules: Applications to Algebraic Geometry, Arithmetic and Mirror Symmetry" the April 12, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by

From playlist Algebraic and Complex Geometry

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Bones: Structure and Types

We've got the skin covered, so now let's take a look at bones! These give structure to the body. Bone is a type of tissue, but an actual complete bone is an organ, because there is lots of stuff inside besides bone. What else is in there? Find out here! Watch the whole Anatomy & Physiolog

From playlist Anatomy & Physiology

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Complex Numbers as Matrices

In this video, we'll learn how to view a complex number as a 2x2 matrix with a special form. We'll also see that there is a matrix version for the number 1 and a matrix representation for the imaginary unit, i. Furthermore, the matrix representation for i has the defining feature of the im

From playlist Complex Numbers

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Joshua Lam - Argyres-Douglas Theories, Isomonodromy and Topological Recursion

Argyres-Douglas theories are certain supersymmetric physical theories in four dimensions, many of which belong to "Class S" and are in some sense the simplest examples of such. On the other hand, isomonodromy is the analogue of the Gauss-Manin connection in non-abelian Hodge theory. I will

From playlist Workshop on Quantum Geometry

Related pages

Sparse matrix | Matrix (mathematics) | Linear algebra