A matrix of coefficients, when viewed in column form, is used to create a column space. This is simply the space created by a linear combination of the column vectors. A resulting vector, b, that does not lie in this space will not result in a solution to the linear system. A set of vec
From playlist Introducing linear algebra
We look at the vector space of 2 by 2 matrices with real entries and test out different subsets to see if they're subspaces.
From playlist Linear Algebra
Linear Algebra: What is a Subspace?
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
Finding the Dimension of a Subspace
Description: How should we define the dimension of a subspace? In the past, we usually just point at planes and say duh its two dimensional. Here we give a precise definition, and use it to find the dimensions of the column space and null space of a matrix. Learning Objectives: 1) Define
From playlist Older Linear Algebra Videos
Subspaces of a vector space. Sums and direct sums.
From playlist Linear Algebra Done Right
Determine the Fundamental Subspaces of a Matrix (2 by 3)
This video explains how to determine the 4 fundamental subspaces of a matrix.
From playlist Fundamental Subspaces of a Matrix
Markus Haase : Operators in ergodic theory - Lecture 2 : Dilations and joinings
Abstract : The titles of the of the individual lectures are: 1. Operators dynamics versus base space dynamics 2. Dilations and joinings 3. Compact semigroups and splitting theorems Recording during the thematic meeting : "Probabilistic Aspects of Multiple Ergodic Averages " the December 7
From playlist Dynamical Systems and Ordinary Differential Equations
Pierre Bieliavsky: Universal deformation twists from evolution equations
A universal twist (or "Drinfel'd Twist") based on a bi-algebra B consists in an element F of the second tensorial power of B that satisfies a certain cocycle condition. I will present a geometrical method to explicitly obtain such twists for a quite large class of examples where B underlie
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
What's a subspace of a vector space? How do we check if a subset is a subspace?
From playlist Linear Algebra
Subspaces are the Natural Subsets of Linear Algebra | Definition + First Examples
A subspace is a subset that respects the two basic operations of linear algebra: vector addition and scalar multiplication. We say they are "closed under vector addition" and "closed under scalar multiplication". On a subspace, you can do linear algebra! Indeed, a subspace is an example of
From playlist Linear Algebra (Full Course)
DDPS | libROM: Library for physics-constrained data-driven physical simulations | Youngsoo Choi
A data-driven model can be built to accurately accelerate computationally expensive physical simulations, which is essential in multi-query problems, such as inverse problem, uncertainty quantification, design optimization, and optimal control. In this talk, two types of data-driven mode
From playlist Data-driven Physical Simulations (DDPS) Seminar Series
William Chen: Billiard orbits and geodesics in non-integrable flat dynamical systems (part 2)
VIRTUAL LECTURE Recording during the meeting "Discrepancy Theory and Applications" Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywo
From playlist Jean-Morlet Chair - Tichy/Rivat
Lennart Ljung on System Identification Toolbox: History and Development
Get a Free Trial: https://goo.gl/C2Y9A5 Get Pricing Info: https://goo.gl/kDvGHt Ready to Buy: https://goo.gl/vsIeA5 Professor Lennart Ljung describes how he developed System Identification Toolbox™ and why he chose to write it in MATLAB®. For more videos about System Identification Tool
From playlist Lennart Ljung on System Identification
Hankel Alternative View of Koopman (HAVOK) Analysis [FULL]
This video illustrates a new algorithm to decompose chaos into a linear system with intermittent forcing. This is based on the Hankel Alternative View of Koopman (HAVOK) analysis that builds linear regression models on eigen-time-delay coordinates. Chaos as an Intermittently Forced Line
From playlist Research Abstracts from Brunton Lab
Physics 50. Math Methods. Lecture 8.1
UCI Physics 50: Math Methods (Spring 2014). Lec 8.1. Math Methods -- Subspace -- View the complete course: http://ocw.uci.edu/courses/physics_50_math_methods.html Instructor: Micahel Dennin, Ph.D. License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info. More courses at ht
From playlist Physics 50: Math Methods
Determine the Fundamental Subspaces of a Matrix Given the Singular Value Decomposition(2 by 3)
This video explains how to determine the 4 fundamental subspaces of a matrix given the singular value decomposition of the matrix.
From playlist Fundamental Subspaces of a Matrix
Anthony Nouy: Adaptive low-rank approximations for stochastic and parametric equations [...]
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Numerical Analysis and Scientific Computing
Stephen Wright: "Sparse and Regularized Optimization, Pt. 1"
Graduate Summer School 2012: Deep Learning, Feature Learning "Sparse and Regularized Optimization, Pt. 1" Stephen Wright, University of Wisconsin-Madison Institute for Pure and Applied Mathematics, UCLA July 17, 2012 For more information: https://www.ipam.ucla.edu/programs/summer-school
From playlist GSS2012: Deep Learning, Feature Learning
Structured Regularization Summer School - É. Chouzenoux - 21/06/2017
Emilie Chouzenoux (Paris-Est): Majorization-Minimization Subspace Algorithms for Large Scale Data Processing Abstract: Recent developments in data processing drive the need for solving optimization problems with increasingly large sizes, stretching traditional techniques to their limits. N
From playlist Structured Regularization Summer School - 19-22/06/2017
