3 The vector spaces ℝ² and ℝ³

Chapters in this book

1. Frontmatter I
2. Foreword VII
3. Introduction IX
4. Contents XIII
5. List of Tables XVII
6. List of Figures XIX
7. 1 Systems of linear equations 1
8. 2 Matrices 35
9. 3 The vector spaces ℝ² and ℝ³ 68
10. 4 Vector spaces 96
11. 5 Linear transformations and matrices 117
12. 6 Determinants 143
13. 7 Eigenvalues and eigenvectors without determinants 165
14. 8 Canonical forms of a matrix 189
15. 9 Euclidean vector spaces 223
16. A Integers, complex numbers, and polynomials 263
17. B SageMath code to compute the minimal polynomial 283
18. Bibliography 285
19. Symbols list 287
20. Index 289