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.