Linear Algebra

- Solving systems of linear equations (using Gaussian elimination)

- Vectors in R^n

- Linear dependence/independence

- Matrix algebra (sum, product, inverse)

- LU decomposition of a matrix

- Linear transformations

- Subspaces in R^n (basis, dimension); column space and null space

- Determinants

- Eigenvalues and eigenvectors

- Diagonalization

- Inner products and orthogonal sets

- Orthogonal projections

- Method of least squares and linear models

- Symmetric matrices

Final score: F

IF the midterm score M is higher than the score E for the exam AND E >= 5.0

THEN F = 0.25 M + 0.75 E

ELSE F = E

All grades are rounded to 1 decimal place.

Note that the midterm is not mandatory (and cannot be resited).

For the resit the midterm is not relevant anymore.