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When learning linear algebra, we will frequently hear the term "vector space". What is that? What are the requirements for being ...

This is really the reason linear algebra is so powerful. Help fund future projects: https://www.patreon.com/3blue1brown An equally ...

In this video, I explained the concept of a vector space using basic terms for those who don't get it.

Vector spaces are one of the fundamental objects you study in abstract algebra. They are a significant generalization of the 2- and ...

We introduce vector spaces in linear algebra. #LinearAlgebra #Vectors #AbstractAlgebra LIKE AND SHARE THE VIDEO IF IT ...

Support the production of this course by joining Wrath of Math to access all my Linear Algebra videos plus lecture notes at the ...

Now that we know what vector spaces are, let's learn about subspaces. These are smaller spaces contained within a larger vector ...

MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015 View the complete course: ...

The fundamental concepts of span, linear combinations, linear dependence, and bases. Help fund future projects: ...

Linear Algebra Pt.1 0:00 What's a Vector Space? 0:25 Addition Axioms 2:02 Scalar Multiplication Axioms 3:34 Classic Vector ...

Beginning the linear algebra series with the basics. Help fund future projects: https://www.patreon.com/3blue1brown Music: ...

This is chapter 4 section 1 vector spaces and sub spaces and in this video we're just going to look at vector spaces but I just want ...

Vectors in R^n obey a list of rules, things like commutivity of vector addition that a+b = b+a as vectors. However, we can abstract ...

To try everything Brilliant has to offer—free—for a full 30 days, visit https://brilliant.org/AbideByReason/ . You'll also get 20% off an ...

Linear Systems Theory EECS 221a With Professor Claire Tomlin Electrical Engineering and Computer Sciences. UC Berkeley.

Definition of a vector space. Join me on Coursera: https://imp.i384100.net/mathematics-for-engineers Lecture notes at ...

Remember when we learned about functions in algebra? Now we will learn something analogous for linear algebra, linear ...

We normally think of vectors as little arrows in space. We add them, we multiply them by scalars, and we have built up an entire ...

Practice this lesson yourself on KhanAcademy.org right now: ...

In this lecture, we generalize the algebraic properties of R^n and discuss vector spaces.

This video explains the definition of a vector space and provides examples of vector spaces.

Dual spaces are defined for general vector spaces, but since vector spaces themselves are an abstract concept, I have taken an ...

Now we know about vector spaces, so it's time to learn how to form something called a basis for that vector space. This is a set of ...

Function Vector Spaces, functions are vectors, intuitive understanding, measuring distances, the inner product with functions, ...

We need to be able to express vectors in the simplest, most efficient way possible. To do this, we will have to be able to assess ...