- 01Vectors | Chapter 1, Essence of linear algebra10m · +100 XP
- 02Linear combinations, span, and basis vectors | Chapter 2, Essence of linear algebra10m · +100 XP
- 03Linear transformations and matrices | Chapter 3, Essence of linear algebra11m · +110 XP
- 04Matrix multiplication as composition | Chapter 4, Essence of linear algebra10m · +100 XP
- 05Three-dimensional linear transformations | Chapter 5, Essence of linear algebra5m · +50 XP
- 06The determinant | Chapter 6, Essence of linear algebra10m · +100 XP
- 07Inverse matrices, column space and null space | Chapter 7, Essence of linear algebra12m · +120 XP
- 08Nonsquare matrices as transformations between dimensions | Chapter 8, Essence of linear algebra4m · +40 XP
- 09Dot products and duality | Chapter 9, Essence of linear algebra14m · +140 XP
- 10Cross products | Chapter 10, Essence of linear algebra9m · +90 XP
- 11Cross products in the light of linear transformations | Chapter 11, Essence of linear algebra13m · +130 XP
- 12Cramer's rule, explained geometrically | Chapter 12, Essence of linear algebra12m · +120 XP
- 13Change of basis | Chapter 13, Essence of linear algebra13m · +130 XP
- 14Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra17m · +170 XP
- 15A quick trick for computing eigenvalues | Chapter 15, Essence of linear algebra13m · +130 XP
- 16Abstract vector spaces | Chapter 16, Essence of linear algebra17m · +170 XP