Dr. Valentina Miovska, Professor
Course content:
Vectors in R n.
Matrices and operations with matrices, types of matrices, row equivalence, elementary row transformations, rank of a matrix, solving systems of equations using matrices (Gauss method, Kronecker-Capelli theorem), singular and non-singular matrices, matrix inverse, matrix equations.
Concept of vector space and subspace, linear dependence and independence of vectors, basis and dimension.
Linear mapping.
Determinants.
Solving systems of equations using determinants.