Dear linear algebra students, This is what matrices (and matrix manipulation) really look like

A quick explainer for Essence of Linear Algebra by Zach Star. 16 min. Watch on YouTube

Course: Essence of Linear Algebra (Mathematics). Covers: visual intuition linear transformations matrices determinant eigenvectors.

All lectures in Essence of Linear Algebra

1. Vectors | Chapter 1, Essence of linear algebra · 10 min
2. Linear combinations, span, and basis vectors | Chapter 2, Essence of linear algebra · 10 min
3. Linear transformations and matrices | Chapter 3, Essence of linear algebra · 11 min
4. Matrix multiplication as composition | Chapter 4, Essence of linear algebra · 10 min
5. Three-dimensional linear transformations | Chapter 5, Essence of linear algebra · 5 min
6. The determinant | Chapter 6, Essence of linear algebra · 10 min
7. Inverse matrices, column space and null space | Chapter 7, Essence of linear algebra · 12 min
8. Nonsquare matrices as transformations between dimensions | Chapter 8, Essence of linear algebra · 4 min
9. Dot products and duality | Chapter 9, Essence of linear algebra · 14 min
10. Cross products | Chapter 10, Essence of linear algebra · 9 min
11. Cross products in the light of linear transformations | Chapter 11, Essence of linear algebra · 13 min
12. Cramer's rule, explained geometrically | Chapter 12, Essence of linear algebra · 12 min
13. Change of basis | Chapter 13, Essence of linear algebra · 13 min
14. A quick trick for computing eigenvalues | Chapter 15, Essence of linear algebra · 13 min