1. Systems of linear equations.
2. Gaussian elimination.
3. Matrix calculus, inverse matrices.
4. Vector spaces.
5. Base and solvability of systems of linear equations.
6. Linear maps.
7. Bilinear forms, determinants.
8. Quadratic forms.
9. Orthogonality, orthogonal projection, the method of least squares.
10. Eigenvalues and eigenvectors.
2. Gaussian elimination.
3. Matrix calculus, inverse matrices.
4. Vector spaces.
5. Base and solvability of systems of linear equations.
6. Linear maps.
7. Bilinear forms, determinants.
8. Quadratic forms.
9. Orthogonality, orthogonal projection, the method of least squares.
10. Eigenvalues and eigenvectors.