Vectors and Matrices, 5 cr

Core content

Systems of linear equations: solving using Gaussian elimination.
Linear independence of Euclidian space, subspaces, basis, rank, and dimension of Euclidian space.

Lines and planes.

Matrices: matrix algebra, matrix product, the transpose, the inverse, the determinant, Eigenvalues and eigenvectors. The cross product, the dot product and the vector triple product of vectors. 

Basic competence in using matlab to solve mathematical problems