vector space

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vector space

n.
A system consisting of a set of generalized vectors and a field of scalars, having the same rules for vector addition and scalar multiplication as physical vectors and scalars.

vector space

n
(Mathematics) maths a mathematical structure consisting of a set of objects (vectors) associated with a field of objects (scalars), such that the set constitutes an Abelian group and a further operation, scalar multiplication, is defined in which the product of a scalar and a vector is a vector. See also scalar multiplication
References in periodicals archive ?
A set has properties of an abstract mathematical object called abstract vector space.
In a series of sections with plenty of examples and exercises they describe vectors, matrices and linear transformations, the solution set of a linear system, the image of a line translation, determinants, the Eigenvalue problem and Eigenvectors, and abstract vector spaces.