Definition:Complex Vector Space

Definition
Let $\C$ be the set of complex numbers.

Then the $\C$-module $\C^n$ is called the complex ($n$-dimensional) vector space.

Also known as
A complex vector space is also known as a complex linear space.

Also see
This object is proved to be a vector space in Complex Vector Space is Vector Space.

The definition is also expanded upon in Complex Numbers form Vector Space over Themselves.