Definition:Vector/Linear Algebra

Definition
Let $V = \struct {G, +_G, \circ}_K$ be a vector space over $K$, where:


 * $\struct {G, +_G}$ is an abelian group


 * $\struct {K, +_K, \times_K}$ is the scalar field of $V$.

The elements of the abelian group $\struct {G, +_G}$ are called vectors.

Also see

 * Definition:Vector Quantity
 * Definition:Zero Vector