Example of Skew-Symmetric Matrix
Matrix Theory: Let a be an invertible skew-symmetric matrix of size n. Show that n is even, and then show that A^{-1} is also skew-symmetric. We show the identities (AB)^T = B^T A^T and (AB)^{-1} = B^{-1}A^{-1}.
From playlist Matrix Theory
Skew-symmetric Matrix | Don't Memorise
This video explains the concept of a Skew-Symmetric Matrix. ✅To learn more about, Matrices, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=uKPmyG18N7I&utm_term=%7Bkeyword%7D In this video, we will le
From playlist Matrices
Symmetric and skew symmetric matricies (Ch5 Pr15)
Here we show that A+A^T and AA^T are symmetric matrices, and A-A^T is skew symmetric for A is a square matrix. Presented by N J Wildberger of the School of Mathematics and Statistics, Faculty of Science, UNSW.
From playlist Mathematics 1A (Algebra)
An introduction to how the jacobian matrix represents what a multivariable function looks like locally, as a linear transformation.
From playlist Multivariable calculus
This video defines a diagonal matrix and then explains how to determine the inverse of a diagonal matrix (if possible) and how to raise a diagonal matrix to a power. Site: mathispower4u.com Blog: mathispower4u.wordpress.com
From playlist Introduction to Matrices and Matrix Operations
Cluster algebras and dilogarithm identities (Lecture 4) by Tomoki Nakanishi
PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra
From playlist School on Cluster Algebras 2018
Cayley-Hamilton Theorem: General Case
Matrix Theory: We state and prove the Cayley-Hamilton Theorem over a general field F. That is, we show each square matrix with entries in F satisfies its characteristic polynomial. We consider the special cases of diagonal and companion matrices before giving the proof.
From playlist Matrix Theory
LG/CFT seminar - Poisson structures 2
This is a seminar series on the Landau-Ginzburg / Conformal Field Theory correspondence, and various mathematical ingredients related to it. This particular lecture is about Poisson varieties and Poisson manifolds, including the concept of rank. This video was recorded in the pocket Delta
From playlist Landau-Ginzburg seminar
Paul Kotyczka: Discrete-time port-Hamiltonian systems and control
CONFERENCE Recorded during the meeting "Energy-Based Modeling, Simulation, and Control of Complex Constrained Multiphysical Systems" the April 21, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other
From playlist Control Theory and Optimization
Sept. 17, Chapter 4 (Linear algebra)
From playlist Fall 2020 Course
MATH2018 Lecture 6.2 Special Matrices
We look at the properties of invertible matrices, symmetric matrices, and orthogonal matrices, and discuss some important relationships between them.
From playlist MATH2018 Engineering Mathematics 2D
Dynamics, numerical analysis and some geometry – Christian Lubich – ICM2018
Plenary Lecture 18 Dynamics, numerical analysis and some geometry Christian Lubich Abstract: Geometric aspects play an important role in the construction and analysis of structure-preserving numerical methods for a wide variety of ordinary and partial differential equations. Here we revi
From playlist Plenary Lectures
Canonical Forms in Geometry and Soliton Theory - Chuu-Lian Terng
Glimpses of Mathematics, Now and Then: A Celebration of Karen Uhlenbeck's 80th Birthday Topic: Canonical Forms in Geometry and Soliton Theory Speaker: Chuu-Lian Terng Affiliation: University of California, Irvine Date: September 17, 2022 In this talk, I will explain some applications of
From playlist Glimpses of Mathematics, Now and Then: A Celebration of Karen Uhlenbeck's 80th Birthday
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
Michael Freedman - The Universe from a Single Particle - IPAM at UCLA
Recorded 02 September 2021. Micheal Freedman of Microsoft Research presents "The Universe from a Single Particle" at IPAM's Graduate Summer School: Mathematics of Topological Phases of Matter. Learn more online at: http://www.ipam.ucla.edu/programs/summer-schools/graduate-summer-school-mat
From playlist Graduate Summer School 2021: Mathematics of Topological Phases of Matter
Pre-recorded lecture 22: Open problems (part 2)
MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems Pre-recorded lecture: These lectures were recorded as part of a cooperation between the Chinese-Russian Mathematical Center (Beijing) and the Moscow Center of Fundamental and Applied Mathematics (Moscow). Nijenhuis Geomet
From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry companion lectures (Sino-Russian Mathematical Centre)
Every operator on a finite-dimensional complex vector space has a matrix (with respect to some basis of the vector space) that is a block diagonal matrix, with each block itself an upper-triangular matrix that contains only one eigenvalue on the diagonal.
From playlist Linear Algebra Done Right
Brent Pym: Holomorphic Poisson structures - lecture 2
The notion of a Poisson manifold originated in mathematical physics, where it is used to describe the equations of motion of classical mechanical systems, but it is nowadays connected with many different parts of mathematics. A key feature of any Poisson manifold is that it carries a cano
From playlist Virtual Conference