Downloads

All the course material as PDF, updated at every publication of the site. Text and figures are released under CC BY 4.0.

The lecture notes

• Linear Algebra — Vectors, matrices, norms and linear systems

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  Lecture notes with definitions, results and proofs, examples worked out step by step and exercises with solutions at the end of each chapter. Sums and products; vectors and linear independence; matrices, determinants and rank; elementary operations and Gaussian elimination; inverse matrix, LU factorization, eigenvalues; norms; linear systems.

  lecture-notes-linear-algebra.pdf

The slides

One deck per chapter, with the same numbering as the lecture notes.

• 1. Sums
• 2. Products
• 3. Vectors
• 4.1 Matrices
• 4.2 Matrix operations
• 4.3 Inversion of matrices
• 4.4 Factorization of matrices
• 4.5 Eigenvalues and eigenvectors
• 5. Norms
• 6. Linear systems
• A.1 Absolute value
• A.2 Modular arithmetic