2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230998Using a generalization of forward elimination, it is proved that functions $f_1,...,f_n:X\to\mathbb{A}$, where $\mathbb{A}$ is a field, are linearly independent if and only if there exists a nonsingular matrix $[f_i(x_j)]$ of size $n$, where $x_1,...,x_n\in X$.6 pages, 0 figuresHistory and Overview15A03text