"Practical Linear Algebra covers all the concepts in a traditional undergraduate-level linear algebra course, but with a focus on practical applications. The book develops these fundamental concepts in 2D and 3D with a strong emphasis on geometric understanding before presenting the general (n-dimensional) concept. The book does not employ a theorem/proof structure, and it spends very little time on tedious, by-hand calculations (e.g., reduction to row-echelon form), which in most job applications are performed by products such as Mathematica. Instead the book presents concepts through examples and applications. "--
Front Cover; Dedication; Contents; Preface; 1. Descartes' Discovery; 2. Here and There: Points and Vectors in 2D; 3. Lining Up: 2D Lines; 4. Changing Shapes: Linear Maps in 2D; 5. 2 × 2 Linear Systems; 6. Moving Things Around: Affine Maps in 2D; 7. Eigen Things; 8. 3D Geometry; 9. Linear Maps in 3D; 10. Affine Maps in 3D; 11. Interactions in 3D; 12. Gauss for Linear Systems; 13. Alternative System Solvers; 14. General Linear Spaces; 15. Eigen Things Revisited; 16. The Singular Value Decomposition; 17. Breaking It Up: Triangles; 18. Putting Lines Together: Polylines and Polygons; 19. Conics
20. CurvesA. Glossary; B. Selected Exercise Solutions; Bibliography
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