Lineaarialgebraan
Lineaarialgebraan, commonly spelled lineaire algebra or linear algebra, is the branch of mathematics that studies vector spaces and linear mappings between them, as well as the structures that arise from them, such as matrices. It provides a framework for analyzing systems of linear relations and transformations in various dimensions.
Core objects include vectors and scalars, vector spaces formed over a field, and linear combinations. Key concepts
Linear transformations and matrices are central to the subject. A linear map between vector spaces preserves
Important topics encompass matrices, determinants, and invertibility, as well as row reduction and Gaussian elimination for
Applications and methods span numerous fields. Linear algebra underpins solving linear systems, least squares approximations, and