find a basis for V that includes the vector v 1 V = R3 , v = (0,1,1) 2 V = P2 , v = x^2 - x + 1 WHere Pn represents all polynomials of degree n for hte first one would any three independant vecotrs do? like maybe (1,0,0), (0,1,1) and (0,1,0)? is that correct? for the second one (1,-1,1) is the vector we have to match could two other vectors like (1,0,0) and (0,1,1) do? IS there a systematic method of doing this?