1. For this entire problem, let V=xyzxy+2z=0R3. Then V is a vector space over R (You don't need to show this). (a) Show that B=131,021 is a basis for V by showing it is both linearly independent and spanning. (b) Write the following elements of V in B-coordinates: 201,110 (c) Using their representation in B-coordinates, show that the vectors from the previous part form a basis for V