Math 060 Linear Algebra 27 111714: Eigenvalues, Determinant, and Trace
Determinant of a matrix equals the product of its eigenvalues; trace of a matrix equals the sum. Linear independence of a set of eigenvectors, each corresponding to a distinct eigenvalue.
From playlist Course 4: Linear Algebra
Trace of an Operator and of a Matrix
Trace of an operator defined to be the sum of the eigenvalues (or of the eigenvalues of the complexification), repeated according to multiplicity. Trace of a matrix defined to be the sum of the squares of the diagonal enties. The connection between these two notions of trace.
From playlist Linear Algebra Done Right
Linear algebra is the branch of mathematics concerning linear equations such as linear functions and their representations through matrices and vector spaces. Linear algebra is central to almost all areas of mathematics. Topic covered: Vectors: Basic vectors notation, adding, scaling (0:0
From playlist Linear Algebra
Linear Algebra for Beginners | Linear algebra for machine learning
Linear algebra is the branch of mathematics concerning linear equations such as linear functions and their representations through matrices and vector spaces. Linear algebra is central to almost all areas of mathematics. In this course you will learn most of the basics of linear algebra wh
From playlist Linear Algebra
Determining if a vector is a linear combination of other vectors
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Determining if a vector is a linear combination of other vectors
From playlist Linear Algebra
This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.
From playlist Linear algebra: theory and implementation
Linear Algebra Full Course for Beginners to Experts
Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis may be basically viewed as the application of l
From playlist Linear Algebra
Linear Algebra: Systems of Linear Equations
Learn the basics of Linear Algebra with this series from the Worldwide Center of Mathematics. Find more math tutoring and lecture videos on our channel or at http://centerofmath.org/
From playlist Basics: Linear Algebra
Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - D.Farenick
Douglas Farenick (University of Toronto) / 13.09.17 Title: Isometric and Contractive of Channels Relative to the Bures Metric Abstract:In a unital C*-algebra A possessing a faithful trace, the density operators in A are those positive elements of unit trace, and the set of all density el
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
The Trace Operator — Topic 39 of Machine Learning Foundations
This is a quick video on the Trace Operator, a relatively simple linear algebra concept, but one that frequently comes in handy for rearranging linear algebra equations, including ones that are common in machine learning. There are eight subjects covered comprehensively in the ML Foundat
From playlist Linear Algebra for Machine Learning
Linear Algebra Vignette 3e: Easy Eigenvalues - The Trace
This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt
From playlist Linear Algebra Vignettes
Linear Algebra II - Eigenvectors & eigenvalues: Oxford Maths 1st Year Student Lecture, James Maynard
In this lecture from James Maynard from his 1st Year Linear Algebra II course we introduce the idea of 'eigenvectors', which are vectors that are stretched by a linear transformation. Looking at eigenvectors gives a very useful perspective for understanding linear maps. You can access the
From playlist Oxford Mathematics 1st Year Student Lectures
This lecture is part of an online graduate course on Galois theory. We define the norm and trace of a finite extension of fields. We give some examples of calculating the image of the norm map, and show how to use the norm and trace to find rings of algebraic integers.
From playlist Galois theory
Linear Algebra Vignette 3g: Easy Eigenvalues - The Determinant
This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt
From playlist Linear Algebra Vignettes
Valentin Suder - Sparse Permutations with Low Differential Uniformity
Sparse Permutations with Low Differential Uniformity
From playlist Journées Codage et Cryptographie 2014
Xavier Caruso: Ore polynomials and application to coding theory
In the 1930’s, in the course of developing non-commutative algebra, Ore introduced a twisted version of polynomials in which the scalars do not commute with the variable. About fifty years later, Delsarte, Roth and Gabidulin realized (independently) that Ore polynomials could be used to de
From playlist Algebraic and Complex Geometry
Linear Algebra 17e: Easy Eigenvalues - The Trace
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
Jesse Peterson: Von Neumann algebras and lattices in higher-rank groups, Lecture 1
Mini course of the conference YMC*A, August 2021, University of Münster. Lecture 1: Background on von Neumann algebras. Abstract: We’ll briskly review basic properties of semi-finite von Neumann algebras. The standard representation, completely positive maps, group von Neumann algebras, th
From playlist YMC*A 2021
On Matrix Multiplication and Polynomial Identity Testing - Robert Andrews
Computer Science/Discrete Mathematics Seminar I Topic: On Matrix Multiplication and Polynomial Identity Testing Speaker: Robert Andrews Affiliation: University of Illinois Urbana-Champaign Date: January 30, 2023 Determining the complexity of matrix multiplication is a fundamental problem
From playlist Mathematics
Linear Algebra 17f: Easy Eigenvalues - The Determinant
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