# Category:Dimension of Vector Space

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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 only the following subcategory.

## Pages in category "Dimension of Vector Space"

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