Exercises

Exercise sheets with worked solutions, organized as the parts of the notes. Try each exercise on your own first: the solution opens with a click.

• Sums and products

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  • 1. Sums · 12 exercises
  • 2. Products · 9 exercises

• Vectors and matrices

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  • 3. Vectors · 10 exercises
  • 4.1. Matrices · 12 exercises
  • 4.2. Matrix operations · 10 exercises
  • 4.3. Inversion of matrices · 10 exercises
  • 4.4. Factorization of matrices · 7 exercises
  • 4.5. Eigenvalues and eigenvectors · 10 exercises

• Norms

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  • 5. Norms · 12 exercises

• Linear systems

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  • 6. Systems of linear equations · 11 exercises

• Further topics

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  • A.1. Absolute value · 8 exercises
  • A.2. Modular arithmetic · 8 exercises