Linear independence

Differential Equations: Linear Independence

Linear independence is a core idea from Linear Algebra. Surprisingly, it's also important in differential equations. This video is the second precursor to our discussion of homogeneous differential equations.

From playlist Differential Equations

Math 060 Linear Algebra 09 092614: Linear Independence

Linear independence: equivalence with unique expression of each element of the span; rows of a square matrix are independent iff the matrix is invertible; example of the Wronskian

From playlist Course 4: Linear Algebra

Linear Independence Problems - Using the Definition

In this video, I review the definition of linear independence and work through some practice problems using the definition. To learn more about linear independence, check out this lecture in my Linear Algebra Lectures video series: https://youtu.be/KE7xHcwfxzQ

From playlist Linear Algebra Lectures

Math 060 092717 Linear Independence

Linear independence: definition of, examples and non-examples; intuition (dependence is redundancy; independence is minimality). Equivalence of dependence and a vector being included in the span of the others. Equivalence of independence with every vector in the span being uniquely expre

From playlist Course 4: Linear Algebra (Fall 2017)

Linear Algebra: Linear Independence Problems

In this video, I work through several practice problems relating to the concept of linear independence. These including using the definition of linear independence, as well as "shortcuts" to determine whether a set is linearly independent without solving a vector equation.

From playlist Linear Algebra Lectures

One to one and linear independence

In this video, I explore an interesting relationship between linear independence and injectivity. In other words, I show that a set of vectors is linearly independent if and only if a related transformation is one-to-one. So, in some sense, those two notions are just different sides of the

From playlist Linear Transformations

Elementary Linear Algebra: Facts about Linear Independence

In this video we discuss the various methods for determining whether a given set of vectors is linearly dependent or linearly independent.

From playlist Linear Algebra

Linear Algebra 4.4 Linear Independence

My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul

From playlist Linear Algebra

Linear Dependence and Independence - Geometrically

Learning Objective: 1) Visualize what it means for a linear combination of vectors to be zero 2) Rewrite a linear combination in terms of one of the vectors (as long as it has a nonzero coefficient) 3) Define linear dependence and independence BECOME A MEMBER: ►Join: https://www.youtube.c

From playlist Linear Algebra (Full Course)

35 - Properties of bases (continued)

Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering

From playlist Algebra 1M

34 - Properties of bases

Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering

From playlist Algebra 1M

MV3D Chapter 1.5

This video covers from Chapter 1.5. These videos are associated the textbook by Scott Stevens entitled Matrices, Vectors, & 3D Math; A Game-Programming approach with MATLAB (http://www.StevensMV3D.com).

From playlist Matrices, Vectors, & 3D Math: Lecture Videos

Oxford Linear Algebra: Basis, Spanning and Linear Independence

University of Oxford mathematician Dr Tom Crawford explains the terms basis, spanning and linear independence in the context of vectors and vector spaces. Check out ProPrep with a 30-day free trial to see how it can help you to improve your performance in STEM-based subjects: https://www.p

From playlist Oxford Linear Algebra

31 - More on spans and linear independence

Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering

From playlist Algebra 1M

Nonlinear Independent Component Analysis - Aapo Hyvärinen

Seminar on Theoretical Machine Learning Topic: Nonlinear Independent Component Analysis Speaker: Aapo Hyvärinen Affiliation: University of Helsinki Date: August 4, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Linear Algebra and Differential Equations - Who cares about Wronskians anyway?

Many of us have, or presently are, taking, or have taken a course in either linear algebra or ordinary differential equations. The primary focus is typically on how to solve them, and this is not the difficult part for many students. But sooner or later, there is one topic that, although o

From playlist Linear Algebra

37 - Coordinate vectors

Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering

From playlist Algebra 1M

Linear Algebra 1.7.1 Linear Independence

From playlist Linear Algebra (Entire Course)

Part III: Linear Algebra, Lec 2: Spanning Vectors

Part III: Linear Algebra, Lecture 2: Spanning Vectors Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-008F11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Calculus Revisited: Calculus of Complex Variables