The course includes the following: Linear equation systems: Gaussian elimination, rank, singularity, Matrices: Matrix calculation, matrix inverse, determinants, Trigonometry: Trigonometrical identities, trigonometrical equations, Vector calculation, linear dependence and independence, bases, coordinates, scalar product and vector product, the equation straight line, distance, area, and volume, Description of rotation, reflection, and orthogonal projection in R2 and R3, linear space in Rn and interpretation of an m×n-matrix as linear mapping.
