Definition:Scalar/Vector Space

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This page is about Scalar in the context of Linear Algebra. For other uses, see Scalar.


Let $\struct {G, +_G, \circ}_K$ be a vector space, where:

$\struct {G, +_G}$ is an abelian group
$\struct {K, +_K, \times_K}$ is the scalar field of $\struct {G, +_G, \circ}_K$.

The elements of the scalar field $\struct {K, +_K, \times_K}$ are called scalars.