In linear algebra, an alternant matrix is a matrix formed by applying a finite list of functions pointwise to a fixed column of inputs. An alternant determinant is the determinant of a square alternant matrix. Generally, if are functions from a set to a field , and , then the alternant matrix has size and is defined by or, more compactly, . (Some authors use the transpose of the above matrix.) Examples of alternant matrices include Vandermonde matrices, for which , and Moore matrices, for which . (Wikipedia).
What is a matrix? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
(3.2.3) The Determinant of Square Matrices and Properties
This video defines the determinant of a matrix and explains what a determinant means in terms of mapping and area. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
How do we add matrices. A matrix is an abstract object that exists in its own right, and in this sense, it is similar to a natural number, or a complex number, or even a polynomial. Each element in a matrix has an address by way of the row in which it is and the column in which it is. Y
From playlist Introducing linear algebra
In this video, I define the notion of adjugate matrix and use it to calculate A-1 using determinants. This is again beautiful in theory, but inefficient in examples. Adjugate matrix example: https://youtu.be/OFykHi0idnQ Check out my Determinants Playlist: https://www.youtube.com/playlist
From playlist Determinants
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
Matrices | Determinant of a Matrix (Part 1) | Don't Memorise
What is the Determinant of a Matrix? Is it unique? What are its applications? In this video, we will learn: 0:00 symbol of the determinant of a matrix 0:34 applications of the determinant of a matrix 0:59 only square matrices have determinant Watch Determinant of a Matrix (Part 2) here
From playlist Matrices
matrix choose a matrix. Calculating the number of matrix combinations of a matrix, using techniques from linear algebra like diagonalization, eigenvalues, eigenvectors. Special appearance by simultaneous diagonalizability and commuting matrices. In the end, I mention the general case using
From playlist Eigenvalues
Definition of a matrix | Lecture 1 | Matrix Algebra for Engineers
What is a matrix? Join me on Coursera: https://www.coursera.org/learn/matrix-algebra-engineers Lecture notes at http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1
From playlist Matrix Algebra for Engineers
Alternating Sign Triangles by Arvind Ayyer
Program : Integrable? ?systems? ?in? ?Mathematics,? ?Condensed? ?Matter? ?and? ?Statistical? ?Physics ORGANIZERS : Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE & TIME : 16 July 2018 to 10 August 2018 VENUE : Ramanujan L
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
Decision making model based on expert evaluations - Cristina Zuheros Montes
About the conference: The 1st International ‘Turing’ conference on decision support and recommender systems will bring together junior and experienced researchers, industry professionals and domain experts to discuss latest trends and ongoing challenges in: - Human and AI-driven complex
From playlist 1st International conference on decision support and recommender systems
5. Concept Selection and Tradespace Exploration
MIT 16.842 Fundamentals of Systems Engineering, Fall 2015 View the complete course: http://ocw.mit.edu/16-842F15 Instructor: Olivier de Weck This lecture covered ground on the phase of conceptual design and preliminary design in a design process. License: Creative Commons BY-NC-SA More i
From playlist MIT 16.842 Fundamentals of Systems Engineering, Fall 2015
Linear Algebra 14TBD: An Elegant Approach to Defining 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 2 Linear Algebra: An In-Depth Course with a Focus on Applications
Spectral properties of steplength selections in gradient (...) - Zanni - Workshop 1 - CEB T1 2019
Zanni (Univ. Modena) / 08.02.2019 Spectral properties of steplength selections in gradient methods: from unconstrained to constrained optimization The steplength selection strategies have a remarkable effect on the efficiency of gradient-based methods for both unconstrained and constrai
From playlist 2019 - T1 - The Mathematics of Imaging
Alternate basis transformation matrix example | Linear Algebra | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/alternate-bases/change-of-basis/v/lin-alg-alternate-basis-tranformation-matrix-example Example of finding the transformation matrix for an alternate
From playlist Alternate coordinate systems (bases) | Linear Algebra | Khan Academy
Understanding Matrices and Matrix Notation
In order to do linear algebra, we will have to know how to use matrices. So what's a matrix? It's just an array of numbers listed in a grid of particular dimensions that can represent the coefficients and constants from a system of linear equations. They're fun, I promise! Let's just start
From playlist Mathematics (All Of It)
Combinatorial methods for PIT (and ranks of matrix spaces) - Roy Meshulam
Optimization, Complexity and Invariant Theory Topic: Combinatorial methods for PIT (and ranks of matrix spaces) Speaker: Roy Meshulam Affiliation: Technion Date: June 8. 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Ye Ke (7/29/22): Geometry of convergence analysis for low rank partially orthogonal tensor approx.
Abstract: Low rank partially orthogonal tensor approximation (LRPOTA) is an important problem in tensor computations and their applications (PCA, ICA, signal processing, data mining, latent variable model, dictionary learning, etc.). It includes Low rank orthogonal tensor approximation (LR
From playlist Applied Geometry for Data Sciences 2022
Linear Algebra 14TBD: The Alternating Property of 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 2 Linear Algebra: An In-Depth Course with a Focus on Applications
Matrices | Determinant of a Matrix (Part 3) | Don't Memorise
To learn more about, Matrices, enroll in our full course now: https://bit.ly/Matrices_DM Watch Determinant of a Matrix (Part 2) here - https://youtu.be/wrIAFfZBoBM In this video, we will learn: 0:00 determinant of a 3x3 matrix 0:34 how to find the determinant of a matrix? 2:59 steps to
From playlist Matrices
Evrim Acar - Constrained Multimodal Data Mining using Coupled Matrix and Tensor Factorizations
Recorded 11 January 2023. Evrim Acar of Simula Research Laboratory presents "Extracting Insights from Complex Data: Constrained Multimodal Data Mining using Coupled Matrix and Tensor Factorizations" at IPAM's Explainable AI for the Sciences: Towards Novel Insights Workshop. Abstract: In or
From playlist 2023 Explainable AI for the Sciences: Towards Novel Insights