Definition:Linear Combination/Subset

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

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

Let $b \in M$ be a linear combination of some sequence $\sequence {a_n}$ 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