The linear algebra problem solver

Vector spaces

Linear transformations

Matrices of linear transformations

Basic matrix arithmetic

Determinants

The inverse of a matrix

The rank of a matrix

Systems of linear equations

Polynomial algebra

Eigenvalue problems

Diagonalization of a matrix

The Jordan canonical form

Matrix functions

Inner product spaces

Bilinear forms

Numerical methods of linear algebra

Linear programming and game theory

Applications to differential equations

Economic and statistical applications

Applications to physical systems I (Mechanics, chemical)

Applications to physical systems II (Electrical)

Linear functionals

Geometrical applications

Miscellaneous applications