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Linear Algebra

Introduction

Main content

1. Vectors, Lines and Planes
2. Systems of Linear Equations, Vector Equations and Matrix Equations
3. Matrix Operations
4. Subspaces
5. Determinants
6. Eigenvalues and Eigenvectors
7. Orthogonality
8. Symmetric Matrices
9. Dynamical Systems

Appendices

10. Complex numbers
11. Proof of the existence of SVD
12. The inverse matrix theorem

Colophon

Acknowledgements

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Determinants

5. Determinants#

In this chapter, we talk about determinants. They give information about how a given matrix transformation changes areas or volumes.

5.1. Determinants as Areas or Volumes
5.2. Determinants via Cofactor Expansion
5.3. Determinants via Row Reduction
5.4. Miscellaneous Applications of Determinants

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4.3. Change of Basis

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5.1. Determinants as Areas or Volumes

By a team of lecturers and developers from the Delft Institute of Applied Mathematics from the TU Delft University of Technology.

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