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
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
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
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
Matrix Theory: Let T: R^4 to R^4 be the linear transformation that sends v to Av where A = [0 0 0 -1 \ 1 0 0 0 \ 0 1 0 -2 \ 0 0 1 0]. Find all subspaces invariant under T.
From playlist Matrix Theory
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)
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
Matrix Equations and Model Reduction Lecture 3
Peter Benner from the Max Planck Institute presents: Matrix Equations and Model Reduction
From playlist Gene Golub SIAM Summer School Videos
Row space, left null space and rank | Lecture 24 | Matrix Algebra for Engineers
Definition of the row space, left null space, and rank of 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
From playlist Matrix Algebra for Engineers
RT1: Representation Theory Basics
Representation Theory: We present basic concepts about the representation theory of finite groups. Representations are defined, as are notions of invariant subspace, irreducibility and full reducibility. For a general finite group G, we suggest an analogue to the finite abelian case, whe
From playlist *** The Good Stuff ***
Vector subspaces, their bases and dimensions -- Elementary Linear Algebra
This lecture is on Elementary Linear Algebra. For more see http://calculus123.com.
From playlist Elementary Linear Algebra
Linear Algebra - Lecture 32 - Dimension, Rank, and Nullity
In this video, I define the dimension of a subspace. I also prove the fact that any two bases of a subspace must have the same number of vectors, which guarantees that dimension is well-defined. Finally, I define the rank and nullity of a matrix, and explain the Rank-Nullity Theorem.
From playlist Linear Algebra Lectures
Peng Chen: "Projected Stein variational methods for high-dimensional Bayesian inversion"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop II: PDE and Inverse Problem Methods in Machine Learning "Projected Stein variational methods for high-dimensional Bayesian inversion constrained by large-scale PDEs" Peng Chen - University of Texas at Austin Abstract: In this talk, I wi
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Linear Algebra - Lecture 30 - Basis of a Subspace
In this video, I give the definition of "basis" for a subspace. Then, I work through the process for finding a basis for the null space and column space of any matrix.
From playlist Linear Algebra Lectures
Matrix Equations and Model Reduction, Lecture 2
Description
From playlist Gene Golub SIAM Summer School Videos
Reduced-Order Modeling and Inversion for Large-Scale Problems of Geophysical Exploration
Date and Time: Thursday, May 12, 2022, 12:00pm Eastern time zone Speaker: Mikhail Zaslavsky, Schlumberger Doll Research Abstract: Geophysical exploration using electromagnetic and seismic method involves large-scale forward and nonlinear inverse problems that often have to be solved in re
From playlist SIAM Geosciences Webinar Series
Subspaces of a vector space. Sums and direct sums.
From playlist Linear Algebra Done Right