- Examples of simple determinants
- Determinant calculation
- Linearity of the determinant
- The adjoint matrix
- Geometric meaning of the determinant: the volume of a parallelepiped
- The number of spanning trees
- Operations on polynomes over Z5
- The determinant of the Vandermonde matrix
- Lagrange interpolation
- Eigenvalues - roots of the characteristic polynome
- Eigenvalues and eigenvectors of a linear map in the plane
- Eigenvectors and eigenvalues of a diagonal matrix
- Eigenvalues of rabbit populations
- Computing eigenvalues and eigenvectors
- Homogeneous systems of first order linear differential equations with constant coefficients
- Special complex matrices
- Diagonalization of a Hermitian matrix
- Orthonormal basis
- Orthonormal systems of real functions
- Ortogonal projection
- Applet for an orthonormalization
- Ortogonal complement
- Cholesky factorization
- Sylvester condition for testing positive definite matrices
- Quadratic forms