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3Blue1Brown
Cramer's rule, explained geometrically | Essence of linear algebra, chapter 12
What Cramer's rule is, and a geometric reason it's true
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
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
Change of basis | Essence of linear algebra, chapter 13
What is a change of basis, and how do you do it?
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
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
Nonsquare matrices as transformations between dimensions | Essence of linear algebra, chapter 8
How do you think about a non-square matrix as a transformation?
3Blue1Brown
Cross products | Essence of linear algebra, Chapter 10
The cross product is a way to multiple to vectors in 3d. This video shows how to visualize what it means.
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
Nonsquare matrices as transformations between dimensions | Essence of linear algebra, footnote
How do you think about a non-square matrix as a transformation?
3Blue1Brown
Change of basis | Essence of linear algebra, chapter 9
What is a change of basis, and how do you do it?
3Blue1Brown
Matrix multiplication as composition | Essence of linear algebra, chapter 4
How to think about matrix multiplication visually as successively applying two different linear transformations.
3Blue1Brown
Nonsquare matrices as transformations between dimensions: Essence of Linear Algebra - Part 8 of 15
How do you think about a non-square matrix as a transformation?
3Blue1Brown
Linear combinations, span, and basis vectors: Essence of Linear Algebra - Part 2 of 15
Some foundational ideas in linear algebra: Span, linear combinations, and linear dependence.
3Blue1Brown
Cross products: Essence of Linear Algebra - Part 10 of 15
The cross product is a way to multiple to vectors in 3d. This video shows how to visualize what it means.
3Blue1Brown
Three-dimensional linear transformations | Essence of linear algebra, footnote
How to think of 3x3 matrices as transforming 3d space
3Blue1Brown
Linear combinations, span, and basis vectors | Essence of linear algebra, chapter 2
Some foundational ideas in linear algebra: Span, linear combinations, and linear dependence.
3Blue1Brown
Matrix multiplication as composition: Essence of Linear Algebra - Part 4 of 15
How to think about matrix multiplication visually as successively applying two different linear transformations.
3Blue1Brown
Linear transformations and matrices | Essence of linear algebra, chapter 3
When you think of matrices as transforming space, rather than as grids of numbers, so much of linear algebra starts to make sense.