Why is the Rotation Matrix Orthogonal? | Classical Mechanics
For any rotation matrix R, we usually know that it's transpose is equal to it's inverse, so that R^T R is equal to the identity matrix. This is due to the fact that we take the rotation matrix to be orthogonal. But why do we assume that rotation matrices are orthogonal? In this video, we w
From playlist Classical Mechanics
Linear Algebra 7.1 Orthogonal Matrices
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
11H Orthogonal Projection of a Vector
The orthogonal projection of one vector along another.
From playlist Linear Algebra
(4.1.3) Orthogonality of Eigenfunctions Theorem and Proof
This video explains and proves a theorem on the orthogonality of eigenfunctions. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
This is the first video of a linear algebra-series on orthogonality. In this video, I define the notion of orthogonal sets, then show that an orthogonal set without the 0 vector is linearly independent, and finally I show that it's easy to calculate the coordinates of a vector in terms of
From playlist Orthogonality
Principal axes theorem + orthogonal matrices
Free ebook http://tinyurl.com/EngMathYT A basic introduction to orthogonal matrices and the principal axes theorem. Several examples are presented involving a simplification of quadratic (quadric) forms. A proof is also given.
From playlist Engineering Mathematics
Linear Algebra 21j: Two Geometric Interpretations of Orthogonal Matrices
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 3 Linear Algebra: Linear Transformations
Francesco Mezzadri: Moments of Random Matrices and Hypergeometric Orthogonal Polynomials
We establish a new connection between moments of n×n random matrices $X_{n}$ and hypergeometric orthogonal polynomials. Specifically, we consider moments $\mathbb{E}\mathrm{Tr} X_n^{-s}$ as a function of the complex variable $s\in\mathbb{C}$, whose analytic structure we describe completely
From playlist Jean-Morlet Chair - Grava/Bufetov
Sarah Post: Rational extensions of superintegrable systems, exceptional polynomials & Painleve eq.s
Abstract: In this talk, I will discuss recent work with Ian Marquette and Lisa Ritter on superintegable extensions of a Smorodinsky Winternitz potential associated with exception orthogonal polynomials (EOPs). EOPs are families of orthogonal polynomials that generalize the classical ones b
From playlist Integrable Systems 9th Workshop
Proof: Orthogonal Matrices Satisfy A^TA=I
One way to characterize orthogonal matrices is to say that a matrix orthogonal if and only if A transpose times A is the identity matrix. In this video, we prove this result using basic matrix calculations and the definition of orthonormal vectors. Learning Linear Algebra playlist: https:
From playlist Learning Linear Algebra
11J Orthogonal Projection of a Vector
The orthogonal projection of one vector along another.
From playlist Linear Algebra
Complex ODEs: Asymptotics, Orthogonal Polynomials and Random Matrices - 18 May 2018
Centro di Ricerca Matematica Ennio De Giorgi http://crm.sns.it/event/429/ Complex ODEs: Asymptotics, Orthogonal Polynomials and Random Matrices An international interdisciplinary workshop, gathering experts in mathematics and mathematical physics, working on the theory of orthogonal and
From playlist Centro di Ricerca Matematica Ennio De Giorgi
From playlist Contributed talks One World Symposium 2020
Coulomb Gas, Integrability and Painleve's Equations: shorts talks
1. Alfano Giusi: Log-gases with two-particle interactions and communication speed of multiantenna wireless systems. 2. Arista Jonas: Loop-erased walks and random matrices. 3. Benassi Constanza: Dispersive Shock States in Matrix Models. 4. Celsus Andrew: Supercritical Regime for the Kissing
From playlist Jean-Morlet Chair - Grava/Bufetov
Mod-01 Lec-21 Projection Theorem in a Hilbert Spaces (Contd.) and Approximation
Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org
Iordanis Kerenidis - New results in quantum linear algebra - IPAM at UCLA
Recorded 25 January 2022. Iordanis Kerenidis of the Université Paris Diderot presents "New results in quantum linear algebra" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: We will describe some new results and optimized circuit constructions for quantum linear algebra. Lea
From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022
Classical Gravitational Scattering (Lecture 3) by Shiraz Minwalla
PROGRAM KAVLI ASIAN WINTER SCHOOL (KAWS) ON STRINGS, PARTICLES AND COSMOLOGY (ONLINE) ORGANIZERS Francesco Benini (SISSA, Italy), Bartek Czech (Tsinghua University, China), Dongmin Gang (Seoul National University, South Korea), Sungjay Lee (Korea Institute for Advanced Study, South Korea
From playlist Kavli Asian Winter School (KAWS) on Strings, Particles and Cosmology (ONLINE) - 2022
Persi Diaconis: Haar-distributed random matrices - in memory of Elizabeth Meckes
Elizabeth Meckes spent many years studying properties of Haar measure on the classical compact groups along with applications to high dimensional geometry. I will review some of her work and some recent results I wish I could have talked about with her.
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Linear Algebra 3.3 Orthogonality
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
From playlist Linear Algebra
Colloquium MathAlp 2015 - Jean-Yves Welschinger
Polynômes aléatoires et topologie "Le lieu des zéros d'un polynôme à coefficients réels de n variables est (en général) une hypersurface de l'espace affine réel de dimension n dont la topologie dépend du choix du polynôme. À quelle topologie s'attendre lorsque le polynôme est choisi au ha
From playlist Colloquiums MathAlp