# Category:Dimension of Vector Space

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 $V$.

## Pages in category "Dimension of Vector Space"

The following 5 pages are in this category, out of 5 total.