2021–22–A

Prof. Ilya Tyomkin

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

University course catalogue: 201.1.1211