3Blue1Brown Essence of Linear Algebra

[MarcusBryan1990]

Parent: #1
Playlist

Videos:

• 1. Vectors, what even are they?
• 2. Linear combinations, span, and basis vectors
• 3. Linear transformations and matrices
• 4. Matrix multiplication as composition
• 5. Three-dimensional linear transformations
• 6. The determinant
• 7. Inverse matrices, column space and null space
• 8. Nonsquare matrices as transformations between dimensions
• 9. Dot products and duality
• 10. Cross products
• 11. Cross products in the light of linear transformations
• 12. Cramer's rule, explained geometrically
• 13. Change of basis
• 14. Eigenvectors and eigenvalues
• 15. Abstract vector spaces