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Linear combinations, span, and basis vectors | Chapter 2, Essence of linear algebra
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Essence of Linear Algebra
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- 1 Vectors | Chapter 1, Essence of linear algebra
- 2 Linear combinations, span, and basis vectors | Chapter 2, Essence of linear algebra
- 3 Linear transformations and matrices | Chapter 3, Essence of linear algebra
- 4 Matrix multiplication as composition | Chapter 4, Essence of linear algebra
- 5 Three-dimensional linear transformations | Chapter 5, Essence of linear algebra
- 6 The determinant | Chapter 6, Essence of linear algebra
- 7 Inverse matrices, column space and null space | Chapter 7, Essence of linear algebra
- 8 Nonsquare matrices as transformations between dimensions | Chapter 8, Essence of linear algebra
- 9 Dot products and duality | Chapter 9, Essence of linear algebra
- 10 Cross products | Chapter 10, Essence of linear algebra
- 11 Cross products in the light of linear transformations | Chapter 11, Essence of linear algebra
- 12 Cramer's rule, explained geometrically | Chapter 12, Essence of linear algebra
- 13 Change of basis | Chapter 13, Essence of linear algebra
- 14 Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra
- 15 A quick trick for computing eigenvalues | Chapter 15, Essence of linear algebra
- 16 Abstract vector spaces | Chapter 16, Essence of linear algebra
