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Essence of Linear Algebra

A geometric, intuition-first walk through linear algebra, inspired by 3Blue1Brown's classic series. Each chapter builds a mental picture first, then the math. Chapters 1 to 3 are the fundamentals everything else stands on. Every article links the original video.

16 / 16 articles published
01
Vectors, What Even Are They?
6 min read
★ Fundamental
02
Linear Combinations, Span, and Basis Vectors
7 min read
★ Fundamental
03
Linear Transformations and Matrices
7 min read
★ Fundamental
04
Matrix Multiplication as Composition
6 min read
05
Three-Dimensional Linear Transformations
5 min read
06
The Determinant
6 min read
07
Inverse Matrices, Column Space, and Null Space
6 min read
08
Nonsquare Matrices as Transformations Between Dimensions
5 min read
09
Dot Products and Duality
5 min read
10
Cross Products
5 min read
11
Cross Products in the Light of Linear Transformations
6 min read
12
Cramer's Rule, Explained Geometrically
5 min read
13
Change of Basis
5 min read
14
Eigenvectors and Eigenvalues
6 min read
15
A Quick Trick for Computing Eigenvalues
5 min read
16
Abstract Vector Spaces
6 min read