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).
What is a matrix? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
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
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
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
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
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
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
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
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
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
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
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)
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
Nonlinear Dynamics of Complex Systems:
Multi-Dimensional Time Series, Network Inference and Nonequilibrium Tipping - by Prof. Marc Timme - Lecture III
From playlist Networked Complexity
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
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
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
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
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