> [!NOTE] Definiton
> Let $n\geq 1.$ Let $\lambda_{1},\lambda_{2},\dots,\lambda_{s}\in \mathbb{R}.$ Let $\underline{v}_{1},\underline{v}_{2},\dots,\underline{v}_{s}\in \mathbb{R}^{n}$ be [[Real n-Space|real vectors]]. The expression $\lambda_{1}\underline{v}_{1}+\dots+\lambda_{s}\underline{v}_{s}\in \mathbb{R}^{n}$is called a linear combination of $\underline{v}_{1},\underline{v}_{2},\dots,\underline{v}_{s}.$