### Course topics

• Complex numbers. Fields: definition and properties. Examples.
• Systems of Linear equations. Gauss elimination process.
• Matrices and operations on them. Invertible matrices.
• Determinant: definition and properties. Adjoint matrix. Cramer rule.
• Vector spaces and subspaces. Linear spanning and linear dependence. Basis and dimension. Coordinates with respect to a given basis.
• Linear transformations. Kernel and Image. Isomorphism of vector spaces. Matrix of a linear transformation with respect to given bases.
• The space of linear transformations between two vector spaces. Dual space

### Course Information

University course catalogue:
201.1.1211
Level:
First Year
Credits:
5.0