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Linear independence — In linear algebra, a family of vectors is linearly independent if none of them can be written as a linear combination of finitely many other vectors in the collection. A family of vectors which is not linearly independent is called linearly… … Wikipedia
Dependence relation — In mathematics, a dependence relation is a binary relation which generalizes the relation of linear dependence. Let X be a set. A (binary) relation between an element a of X and a subset S of X is called a dependence relation, written , if it… … Wikipedia
Linear combination — In mathematics, linear combinations are a concept central to linear algebra and related fields of mathematics.Most of this article deals with linear combinations in the context of a vector space over a field, with some generalisations given at… … Wikipedia
Linear regression — Example of simple linear regression, which has one independent variable In statistics, linear regression is an approach to modeling the relationship between a scalar variable y and one or more explanatory variables denoted X. The case of one… … Wikipedia
Linear least squares (mathematics) — This article is about the mathematics that underlie curve fitting using linear least squares. For statistical regression analysis using least squares, see linear regression. For linear regression on a single variable, see simple linear regression … Wikipedia
Correlation and dependence — This article is about correlation and dependence in statistical data. For other uses, see correlation (disambiguation). In statistics, dependence refers to any statistical relationship between two random variables or two sets of data. Correlation … Wikipedia
Theorems and definitions in linear algebra — This article collects the main theorems and definitions in linear algebra. Vector spaces A vector space( or linear space) V over a number field² F consists of a set on which two operations (called addition and scalar multiplication, respectively) … Wikipedia
Minimal polynomial (linear algebra) — For the minimal polynomial of an algebraic element of a field, see Minimal polynomial (field theory). In linear algebra, the minimal polynomial μA of an n by n matrix A over a field F is the monic polynomial P over F of least degree such that… … Wikipedia
Direct linear transformation — (DLT) is an algorithm which solves a set of variables from a set of similarity relations: for where and are known vectors, denotes equality up to an unknown scalar multiplication, and … Wikipedia
System of linear equations — In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables. For example,:egin{alignat}{7}3x ; + ; 2y ; ; z ; = ; 1 2x ; ; 2y ; + ; 4z ; = ; 2 x ; + ; frac{1}{2} y ; ; z … Wikipedia
Non-linear least squares — is the form of least squares analysis which is used to fit a set of m observations with a model that is non linear in n unknown parameters (m > n). It is used in some forms of non linear regression. The basis of the method is to… … Wikipedia