Linear Combinations
Given the Vectors $v_1,v_2,…v_n$ in $\mathbb{R}^n$, and scalars $c_1,c_2,…,c_n$, the linear combination of these vectors, $y$, is:
$$ y = c_1v_1 + c_2v_2 + c_3v_3 + … + c_nv_n $$
where the scalars are called the weights.