Category:Dimension of Vector Space

From ProofWiki
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 $V$.