1. The problem statement, all variables and given/known data Suppose we have, Let V=span(v1, v2, v3, v4). Find a basis for V. (there are actual vectors given, however I can't exactly write them in an easy to read form) 2. Relevant equations N/A 3. The attempt at a solution My initial thought is, if I require a basis in which all linear combinations of v1, v2, v3, v4 that can be written, couldn't the v1, v2, v3, v4 be the basis so long as they are linearly independent? As well, wouldn't the standard basis vector (this is for matrices) be valid? However if it was that easy...well I'm probably wrong. I don't really need a direct solution; really just a clarification.