Series · 6 chapters

Essence of Linear Algebra

Linear algebra from 3Blue1Brown perspective, with a focus on understanding the underlying concepts and their applications.

Understanding vectors geometrically: arrows in space, with vector addition and scalar multiplication.

How scaling and adding vectors defines span, basis, and the foundations of linear algebra.

Matrices as descriptions of space transformation — where basis vectors land defines everything.

Multiplying matrices is just applying one transformation after another.

The same concepts from 2D, extended to 3D with 3×3 matrices and three basis vectors.

One number that captures how much a transformation scales area (2D) or volume (3D).