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A vector \( b \in \mathbb{R}^n \) is said to be a linear combination of the vectors \( v_1, v_2, \dots, v_k \in \mathbb{R}^n \) if and only if there exist scalars \( c_1, c_2, \dots, c_k \in \mathbb{R} \) such that:

\[
b = c_1 v_1 + c_2 v_2 + \dots + c_k v_k
\]