Linear algebra
Linear algebra is a mathematical branch of vector space and linear mapping. It includes the study of lines, faces and subspaces, as well as the general properties of all vector spaces. The coordinates satisfy the set of points satisfying the linear equation to form a hyperplane in the n - dimensional space. The condition that n hyperplanes intersect at one point is an important focus of linear algebra research. This study stems from a linear system of equations with multiple unknowns. Such equations can be naturally expressed in the form of matrices and vectors. Linear algebra is both pure mathematics and the core of applied mathematics. For example, the axiom of the relaxed vector space produces abstract algebra, and there are several generalizations. Functional Space Analysis of Invariant Dimension. Linear algebra and calculus combined, making the differential equation linear system solution is more convenient. The theory of linear algebra has been generalized to operator theory. Linear algebra methods are also used in analytical geometry, engineering, physics, natural sciences, computer science, computer animation and social sciences (especially economics). Since linear algebra is a complete set of theory, nonlinear mathematical models can usually be approximated as linear models. ...