The Diagonalization of Matrices
This video explains the process of diagonalization of a matrix.
From playlist The Diagonalization of Matrices
Characterizations of Diagonalizability In this video, I define the notion of diagonalizability and show what it has to do with eigenvectors. Check out my Diagonalization playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCSovHY6cXzPMNSuWOwd9wB Subscribe to my channel: https://
From playlist Diagonalization
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
Diagonal Matrices are Freaking Awesome
When you have a diagonal matrix, everything in linear algebra is easy Learning Objectives: 1) Solve systems, compute eigenvalues, etc for Diagonal Matrices This video is part of a Linear Algebra course taught by Dr. Trefor Bazett at the University of Cincinnati
From playlist Linear Algebra (Full Course)
Linear Algebra - Lecture 35 - Diagonalizable Matrices
In this lecture, we discuss what it means for a square matrix to be diagonalizable. We prove the Diagonalization Theorem, which tells us exactly when a matrix is diagonalizable.
From playlist Linear Algebra Lectures
Eigenspaces and Diagonal Matrices
Diagonal matrices. Eigenspaces. Conditions equivalent to diagonalizability.
From playlist Linear Algebra Done Right
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
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
Linear Algebra 1.7 Diagonal, Triangular, and Symmetric 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
From playlist Linear Algebra
20. Roth's theorem III: polynomial method and arithmetic regularity
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX The first half of the lecture covers a surprising recent
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
On Chen’s recent breakthrough on the Kannan-Lovasz-Simonovits conjecture... Part III - Ronen Eldan
Computer Science/Discrete Mathematics Seminar II Topic: On Chen’s recent breakthrough on the Kannan-Lovasz-Simonovits conjecture and Bourgain's slicing problem - Part III Speaker: Ronen Eldan Affiliation: Weizmann Institute of Science Date: May 04, 2021 For more video please visit http:
From playlist Mathematics
Lie Groups and Lie Algebras: Lesson 10: The Classical Groups part VIII
Lie Groups and Lie Algebras: Lesson 10: The Classical Groups part VIII In this lecture we demonstrate the canonical form of a bilinear symmetric metric. This will help us appreciate that all of the most important types of metrics can be represented by matrices of a specific "canonical" ty
From playlist Lie Groups and Lie Algebras
Sparsifying and Derandomizing the Johnson-Lindenstrauss Transform - Jelani Nelson
Jelani Nelson Massachusetts Institute of Technology January 31, 2011 The Johnson-Lindenstrauss lemma states that for any n points in Euclidean space and error parameter 0 less than eps less than 1/2, there exists an embedding into k = O(eps^{-2} * log n) dimensional Euclidean space so that
From playlist Mathematics
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
Cap-sets in (Fq)n(Fq)n and related problems - Zeev Dvir
Computer Science/Discrete Mathematics Seminar II Topic: Cap-sets in (Fq)n(Fq)n and related problems Speaker:Zeev Dvir Affiliation: Princeton University; von Neumann Fellow, School of Mathematics Date: October 31, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Arithmetic regularity, removal, and progressions - Jacob Fox
Title: Marston Morse Lectures Topic: Arithmetic regularity, removal, and progressions Speaker: Jacob Fox Affiliation: Stanford University Date: Oct 25, 2016 For more video, visit http://video.ias.edu
From playlist Mathematics
MAST30026 Lecture 4: Metrics from matrices
I finally proved that the Euclidean distance gives a metric, and then immediately generalised this to show that positive definite matrices also give rise to metrics on R^n. Lecture notes: http://therisingsea.org/notes/mast30026/lecture4.pdf The class webpage: http://therisingsea.org/post
From playlist MAST30026 Metric and Hilbert spaces
New Developments in Hypergraph Ramsey Theory - D. Mubayi - Workshop 1 - CEB T1 2018
Dhruv Mubayi (UI Chicago) / 30.01.2018 I will describe lower bounds (i.e. constructions) for several hypergraph Ramsey problems. These constructions settle old conjectures of Erd˝os–Hajnal on classical Ramsey numbers as well as more recent questions due to Conlon–Fox–Lee–Sudakov and othe
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Timothy Gowers: The afterlife of Szemerédi's theorem
Abstract: Szemerédi's theorem asserts that every set of integers of positive upper density contains arbitrarily long arithmetic progressions. This result has been extraordinarily influential, partly because of the tools that Szemerédi introduced in order to prove it, and partly because sub
From playlist Abel Lectures
Direct Sum definition In this video, I define the notion of direct sum of n subspaces and show what it has to do with eigenvectors. Direct sum of two subspaces: https://youtu.be/GjbMddz0Qxs Check out my Diagonalization playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCSovHY6c
From playlist Diagonalization