1. The problem statement, all variables and given/known data consider R^4. Let V be the set of vectors in the form ( 2x+3y, x, 0 , -x+2x) is this a subspace of R^4 and why? find a basis if it's possible 2. Relevant equations 3. The attempt at a solution I know that the set must work under scalar multiplication and vector addition but i am confused here because of the variables. how do you actually test that? do you just choose random values for x and y? for the second part, i know that a basis could be found if it's a subspace but i am not sure how to find it?