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null space of linear transformation

См. также в других словарях:

  • null-space — ˈ ̷ ̷ ˌ ̷ ̷ noun : a subspace of a vector space consisting of vectors that under a given linear transformation are mapped to zero * * * /nul spays /, n. Math. the set of elements of a vector space that a given linear transformation maps to zero.… …   Useful english dictionary

  • null-space — /nul spays /, n. Math. the set of elements of a vector space that a given linear transformation maps to zero. Also called null manifold /nul man euh fohld /. [1880 85] * * * …   Universalium

  • null-space — noun Date: 1884 a subspace of a vector space consisting of vectors that under a given linear transformation are mapped onto zero …   New Collegiate Dictionary

  • 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

  • Linear map — In mathematics, a linear map, linear mapping, linear transformation, or linear operator (in some contexts also called linear function) is a function between two vector spaces that preserves the operations of vector addition and scalar… …   Wikipedia

  • Null vector — For other uses, see Null (disambiguation). In linear algebra, the null vector or zero vector or empty vector is the vector (0, 0, …, 0) in Euclidean space, all of whose components are zero. It is usually written with an arrow head above or below… …   Wikipedia

  • Space (mathematics) — This article is about mathematical structures called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation). A hierarchy of mathematical spaces: The inner product induces a norm. The norm… …   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

  • Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − …   Wikipedia

  • Projection (linear algebra) — Orthogonal projection redirects here. For the technical drawing concept, see orthographic projection. For a concrete discussion of orthogonal projections in finite dimensional linear spaces, see vector projection. The transformation P is the… …   Wikipedia

  • Column space — The column vectors of a matrix. In linear algebra, the column space of a matrix (sometimes called the range of a matrix) is the set of all possible linear combinations of its column vectors. The column space of an m × n matrix is a… …   Wikipedia

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