3Blue1Brown
Eigenvectors and eigenvalues | Essence of linear algebra, chapter 14
Eigenvalues and eigenvectors are one of the most important ideas in linear algebra, but what on earth are they?
3Blue1Brown
Abstract vector spaces | Essence of linear algebra, chapter 11
What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.
3Blue1Brown
Alice, Bob, and the average shadow of a cube
A story of problem-solving styles, with the central example of finding the average area for the shadow of a cube.
3Blue1Brown
Eigenvectors and eigenvalues: Essence of Linear Algebra - Part 14 of 15
Eigenvalues and eigenvectors are one of the most important ideas in linear algebra, but what on earth are they?
3Blue1Brown
Three-dimensional linear transformations: Essence of Linear Algebra - Part 5 of 15
How to think of 3x3 matrices as transforming 3d space
3Blue1Brown
Abstract vector spaces: Essence of Linear Algebra - Part 15 of 15
What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.
3Blue1Brown
Change of basis: Essence of Linear Algebra - Part 13 of 15
What is a change of basis, and how do you do it?
3Blue1Brown
Dot products and duality | Essence of linear algebra, chapter 7
What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.
3Blue1Brown
Cross products | Essence of linear algebra, Chapter 8
The cross product is a way to multiple to vectors in 3d. This video shows how to visualize what it means.
3Blue1Brown
But what *is* a Neural Network? | Chapter 1, deep learning
An overview of what a neural network is, introduced in the context of recognizing hand-written digits.
3Blue1Brown
Cross products in the light of linear transformations | Essence of linear algebra chapter 8 part 2
The formula for the cross product can feel like a mystery, or some kind of crazy coincidence. But it isn't. There is a fundamental connection between the cross product and determinants.
3Blue1Brown
Cramer's rule, explained geometrically: Essence of Linear Algebra - Part 12 of 15
This rule seems random to many students, but it has a beautiful reason for being true.
3Blue1Brown
Eigenvectors and eigenvalues | Essence of linear algebra, chapter 10
Eigenvalues and eigenvectors are one of the most important ideas in linear algebra, but what on earth are they?
3Blue1Brown
But what is a Neural Network? | Deep learning, chapter 1
An overview of what a neural network is, introduced in the context of recognizing hand-written digits.
3Blue1Brown
Inverse matrices, column space and null space: Essence of Linear Algebra - Part 7 of 15
How do you think about the column space and null space of a matrix visually? How do you think about the inverse of a matrix?
3Blue1Brown
Vectors, what even are they? | Essence of linear algebra, chapter 1
What is a vector? Is it an arrow in space? A list of numbers?
3Blue1Brown
Cross products in the light of linear transformations: Essence of Linear Algebra - Part 11 of 15
The formula for the cross product can feel like a mystery, or some kind of crazy coincidence. But it isn't. There is a fundamental connection between the cross product and determinants.
3Blue1Brown
Abstract vector spaces | Essence of linear algebra, chapter 15
What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.
3Blue1Brown
Inverse matrices, column space and null space | Essence of linear algebra, chapter 6
How do you think about the column space and null space of a matrix visually? How do you think about the inverse of a matrix?
3Blue1Brown
Essence of linear algebra preview
The introduction to a series on visualizing core ideas of linear algebra.
3Blue1Brown
Essence of Linear Algebra: Preview
The introduction to a series on visualizing core ideas of linear algebra.
3Blue1Brown
Dot products and duality: Essence of Linear Algebra - Part 9 of 15
What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.
3Blue1Brown
But what is a Neural Network? Deep learning - Part 1 of 4
An overview of what a neural network is, introduced in the context of recognizing hand-written digits.
3Blue1Brown
Nonsquare matrices as transformations between dimensions | Essence of linear algebra, footnote
How do you think about a non-square matrix as a transformation?