1. The problem statement, all variables and given/known data This is a general question in linear algebra Determine whether the following subset of R^3 is a subspace The elements go vertically but I can't show them in this way and will show them horizontally however. ( s-2t, s, t+s ) / s, t ε R .... 2. Relevant equations The book attempt to show closure under addition and multiplication 3. The attempt at a solution Is it possible to use another argument. I claim that these three elements can be divided into two vectors which are also subsets of R-3 ... They are the span of (1,1,1)(-2,0,1).. Since they are lin. independent, they are vector spaces???