4.10: Spanning, Linear Independence and Basis in Rⁿ
https://math.libretexts.org/Bookshelves/Linear_Algebra/A_First_Course_in_Linear_Algebra_(Kuttler)/04%3A_R/4.10%3A_Spanning_Linear_Independence_and_Basis_in_R
Sep 17, 2022 · The last sentence of this theorem is useful as it allows us to use the reduced row-echelon form of a matrix to determine if a set of vectors is linearly independent. Let the vectors be columns of a matrix \(A\). Find the reduced row-echelon form of \(A\). If each column has a leading one, then it follows that the vectors are linearly independent.
DA: 98 PA: 3 MOZ Rank: 95