Scalars, vectors, matrices, linear equations, Gaussian elimination, determinants, and matrix factorizations — the bedrock of linear algebra.
| Chapter | Title |
|---|---|
| 1 | What Linear Algebra Is |
| 2 | Scalars, Vectors, and Fields |
| 3 | Geometry of Euclidean Space |
| 4 | Linear Equations |
| 5 | Systems of Linear Equations |
| 6 | Matrices |
| 7 | Matrix Operations |
| 8 | Elementary Row Operations |
| 9 | Gaussian Elimination |
| 10 | Gauss-Jordan Elimination |
| 11 | Invertible Matrices |
| 12 | Rank and Nullity |
| 13 | Determinants |
| 14 | Cofactors and Adjugates |
| 15 | Block Matrices |
| 16 | Matrix Factorizations Overview |
Chapter 1. What Linear Algebra Is
Chapter 2. Scalars, Vectors, and Fields
Chapter 3. Geometry of Euclidean Space
Chapter 4. Linear Equations
Chapter 5. Systems of Linear Equations
Chapter 6. Matrices
Chapter 7. Matrix Operations
Chapter 8. Elementary Row Operations
Chapter 9. Gaussian Elimination
Chapter 10. Gauss-Jordan Elimination
Chapter 11. Invertible Matrices
Chapter 12. Rank and Nullity
Chapter 13. Determinants
Chapter 14. Cofactors and Adjugates
Chapter 15. Block Matrices
Chapter 16. Matrix Factorizations Overview