Matrices, determinants and systems of linear equations. Vector spaces, the Euclidian space, inner product spaces, linear transformations. Eigenvalues, diagonalization.

For further information see the academic catalog: MATH260

Course Content

Matrices, determinants and systems of linear equations. Vector spaces, the Euclidian space, inner product spaces, linear transformations. Eigenvalues, diagonalization.

Learning Outcomes

By the end of the course, students will learn

  • how to solve the systems of linear equations algorithmically,
  • the basics of the vector spaces and inner product spaces,
  • the eigenvalues, eigenvectors and diagonalization of real symmetric matrices.