## Essence of Linear Algebra

Notes from 3Blue1Brown's Essence of Linear Algebra.

## Contents

- Essense of linear algebra
- Linear combinations, span, and basis vectors
- Linear Transformations and Matrices
- Matrix multiplication as composition
- Three-Dimensional Linear Transformations
- The determinant
- Inverse matrices, column space, and null space
- Nonsquare matrices as transformations between dimensions
- Dot Products and Duality
- Cross Products
- Chapter 11. Cross products in the light of linear transformations (missing)
- Chapter 12. Cramer's rule, explained geometrically (missing)
- Change of basis
- Eigenvectors and Eigenvalues