If N is a nilpotent operator on a finite-dimensional vector space, then there is a basis of the vector space with respect to which N has a matrix with only 0's on and below the diagonal.
From playlist Linear Algebra Done Right
Pre-recorded lecture 1: Introduction. What is Nijenhuis Geometry?
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)
This video introduces the identity matrix and illustrates the properties of the identity matrix. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
From playlist Introduction to Matrices and Matrix Operations
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
Singular Matrix and Non-Singular Matrix | Don't Memorise
This video explains what Singular Matrix and Non-Singular Matrix are! ✅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=2OJJhfKwrRc&utm_term=%7Bkeyword%7D In this video,
From playlist Matrices
What is a matrix? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
Identity Matrix | Unit Matrix | Don't Memorise
This video explains the concept of an Identity Matrix. Is it also called a Unit 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=iks8wCfPerU&utm_term=%7Bkeyword%
From playlist Matrices
This lecture is part of an online graduate course on Lie groups. We state Engel's theorem about nilpotent Lie algebras and sketch a proof of it. We give an example of a nilpotent Lie group that is not a matrix group. For the other lectures in the course see https://www.youtube.com/play
From playlist Lie groups
Transpose of a Matrix | Don't Memorise
What is the Transpose of a 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=g_Rz94DXvNo&utm_term=%7Bkeyword%7D In this video, we will learn: 0:00 what is transp
From playlist Matrices
On the pioneering works of Professor I.B.S. Passi by Sugandha Maheshwari
PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund
From playlist Group Algebras, Representations And Computation
Commutative algebra 31 (Nullstellensatz)
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We describe the weak and strong Nullstellensatz, and give short proofs of them over the complex numbers using Rabinowitsch's
From playlist Commutative algebra
Anthony Henderson: Hilbert Schemes Lecture 4
SMRI Seminar Series: 'Hilbert Schemes' Lecture 4 Kleinian singularities 1 Anthony Henderson (University of Sydney) This series of lectures aims to present parts of Nakajima’s book `Lectures on Hilbert schemes of points on surfaces’ in a way that is accessible to PhD students interested i
From playlist SMRI Course: Hilbert Schemes
A nice basis for a nilpotent operator. Jordan basis. Jordan form for an operator on a finite-dimensional complex vector space.
From playlist Linear Algebra Done Right
AKPotW: A Condition Equivalent to Nilpotency [Linear Algebra]
A necessary and sufficient condition for a matrix to be nilpotent. For a written solution, check out the blog!
From playlist Center of Math: Problems of the Week
James Borger: The geometric approach to cohomology Part I
SMRI Seminar Course: 'The geometric approach to cohomology' Part I James Borger (Australian National University) Abstract: The aim of these two talks is to give an overview of the geometric aka stacky approach to various cohomology theories for schemes: de Rham, Hodge, crystalline and pr
From playlist SMRI Course: The geometric approach to cohomology
Matrices: Transpose and Symmetric Matrices
This is the third video of a series from the Worldwide Center of Mathematics explaining the basics of matrices. This video deals with matrix transpose and symmetric matrices. For more math videos, visit our channel or go to www.centerofmath.org
From playlist Basics: Matrices
Geometric deformations of orthogonal and symplectic Galois representations - Jeremy Booher
Jeremy Booher Stanford University November 19, 2015 https://www.math.ias.edu/seminars/abstract?event=87395 For a representation of the absolute Galois group of the rationals over a finite field of characteristic p, we would like to know if there exists a lift to characteristic zero with
From playlist Joint IAS/PU Number Theory Seminar
Matrices | Determinant of a Matrix (Part 2) | Don't Memorise
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=wrIAFfZBoBM&utm_term=%7Bkeyword%7D Watch Determinant of a Matrix (Part 1) here - https://youtu.be/YFGTpSkfT40 0:00 how to
From playlist Matrices
Adam Piggott & Murray Elder Double Header: Geodesics in Groups
Double header seminar by two SMRI domestic visitors: Adam Piggott (Australian National University) ‘Stubborn conjectures concerning rewriting systems, geodesic normal forms and geodetic graphs’ & Murray Elder (University of Technology Sydney) ‘Which groups have polynomial geodesic growth
From playlist SMRI Seminars