Recent content by AngryHippo

But it has to be a basis so it has to span and be linear independent. Doesn't have to be in dimension 3 to be able to span R^3?

Well if the question says that S is in R^3 wouldn't S have to have the dimension 3?

Find a basis for the subspace S of R^3 consisting of all vectors of the form (a, 2a-b, b)^T, where a and b are real numbers Relevant equations would really just be the determinant of the system. I have tried so many 3x3 matrix combinations of the given form but no matter what the determinant...