Notes by Lex

Notes from 3Blue1Brown's Essence of Linear Algebra.

Contents

• Chapter 1. Vector
• Chapter 2. Linear combinations, span, and basis vectors
• Chapter 3. Linear transformations and matrices
• Chapter 4. Matrix multiplication as composition
• Chapter 5. Three-dimensional linear transformations
• Chapter 6. The determinant
• Chapter 7. Inverse matrices, column space and null space
• Chapter 8. Nonsquare matrices as transformations between dimensions
• Chapter 9. Dot products and duality
• Chapter 10. Cross products
• Chapter 11. Cross products in the light of linear transformations (missing)
• Chapter 12. Cramer's rule, explained geometrically (missing)
• Chapter 13. Change of basis
• Chapter 14. Eigenvectors and eigenvalues