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:
First Year
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