Definition:Linear Combination/Subset

Definition
Let $G$ be an $R$-module.

Let $\varnothing \subset S \subseteq G$.

Let $b \in G$ be a linear combination of some sequence $\left \langle {a_n} \right \rangle$ of elements of $S$.

Then $b$ is a linear combination of $S$.

Also see

 * Definition:Linear Combination
 * Definition:Linear Combination of Sequence
 * Definition:Linear Combination of Empty Set


 * Definition:Linear Span
 * Definition:Linear Transformation