Linear algebra is also very important in artificial intelligence.
Linear algebra is a branch of mathematics that studies vectors , vector spaces (or linear spaces), linear transformations and finite-dimensional systems of linear equations . Vector spaces are an important subject in modern mathematics ; thus, linear algebra is widely used in abstract algebra and functional analysis ; through analytic geometry, linear algebra can be specifically represented. The theory of linear algebra has been generalized to operator theory. Because nonlinear models in scientific research can usually be approximated as linear models , linear algebra is widely used in natural and social sciences.