[SOLVED] Orthonormal system 1. The problem statement, all variables and given/known data I have three vectors, u_1, u_2 and u_3, in R^4. I want to find an orthonormal system v_1, v_2 and v_3, where: span(u_1, u_2, u_3) = span(v_1, v_2, v_3). 3. The attempt at a solution My "guess" is that I can just use Gram-Schmidt on u_1, u_2 and u_3 to find the orthonormal system, and the two vector-sets must span the same space, right? Thanks in advance, sincerely Niles.