eli5 what vector spaces are in linear algebra

A vector space is simply a set of elements along with two operations (multiplication by scalars and addition of vectors) that follow some rules

Vector space

In mathematics and physics, a vector space is a set whose elements, often called vectors, can be added together and multiplied ("scaled") by numbers called

Vector Space -- from Wolfram MathWorld

A vector space V is a set that is closed under finite vector addition and scalar multiplication. The basic example is n-dimensional Euclidean space R^n,

Vector Space- Definition, Axioms, Properties and Examples

A vector space or a linear space is a group of objects called vectors, added collectively and multiplied (“scaled”) by numbers, called scalars.

3.1: Vector Spaces

A vector space consists of a set of vectors and a set of scalars that is closed under vector addition and scalar multiplication.

Vectors and spaces

Vectors are used to represent many things around us: from forces like gravity, acceleration, friction, stress and strain on structures, to computer graphics

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Vector Space - Topological vector space - vector space中文