# Category:Dimension of Vector Space

Jump to navigation
Jump to search

This category contains results about **Dimension of Vector Space**.

Definitions specific to this category can be found in Definitions/Dimension of Vector Space.

Let $K$ be a division ring.

Let $V$ be a vector space over $K$.

### Definition 1

The **dimension of $V$** is the number of vectors in a basis for $V$.

### Definition 2

The **dimension of $V$** is the maximum cardinality of a linearly independent subset of $V$.

## Subcategories

This category has the following 3 subcategories, out of 3 total.

## Pages in category "Dimension of Vector Space"

The following 7 pages are in this category, out of 7 total.