## VECTORSPACE

### Vector space

A**vector space**is a mathematical structure formed by a collection of elements called

**vectors**, which may be added together and multiplied by numbers, called

*scalars*in this context. Scalars are often taken to be real numbers, but there are also vector spaces with scalar multiplication by complex numbers, rational numbers, or generally any field. The operations of vector addition and scalar multiplication must satisfy certain requirements, called

*axioms*, listed below. An example of a vector space is that of Euclidean vectors, which may be used to represent physical quantities such as forces: any two forces can be added to yield a ...

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### vector space

#### Noun

- A type of set of vectors that satisfies a specific group of constraints.
*A***vector space**is a set of vectors which can be linearly combined.*Each***vector space**has a basis and dimension.

*The above text is a snippet from Wiktionary: vector space*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.