 Linear combination

A linear combination of vectors $v_1,\dots ,v_n$ is a sum $a_1{v}_1+\cdots +a_n{v}_n$ with scalar coefficients $a_i$.

A linear combination is a mathematical expression constructed from a set of elements, typically vectors or functions, where each element is multiplied by a coefficient (a scalar, which can be any real or complex number) and then summed together.