Temario de la asignatura
Estos bloques orientan el estudio. Adaptamos las clases al programa y al material que estés trabajando.
1
Mathematical foundations and linear equations
- Mathematical notation and modelling
- Systems of linear equations
2
Matrices and matrix operations
- Matrix representation
- Addition, multiplication and transposition
3
Inverse matrices and solution of systems
- Invertibility
- Solving linear systems with inverse matrices
4
Determinants and their applications
- Calculation and properties
- Invertibility and Cramer-type methods
5
Vector spaces and matrix subspaces
- Null, row and column spaces
- Linear independence, bases and dimension
6
Eigenvalues and eigenvectors
- Characteristic equation
- Applications and diagonalisation
7
Inner products and orthogonality
- Length, angle and orthogonal complement
- Gram-Schmidt algorithm
8
Orthogonal projections and least squares
- Projection onto a subspace
- Least-squares applications to data and machine learning