Essence of Linear Algebra

Essence of Linear Algebra

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Nonsquare matrices as transformations between dimensions | Chapter 8, Essence of linear algebra

8 of 16

8 of 16

Nonsquare matrices as transformations between dimensions | Chapter 8, Essence of linear algebra

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Essence of Linear Algebra

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

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