DATA605_week2_discussion

T21. Suppose that V is a vector space, and u, v, w \(\in\) V. if w + u = w + v, then u = v.

         u + w = v + w

(u + w) + (-w) = (v + w) + (-w)

u + (w + (-w)) = v + (w + (-w))

         u + 0 = v + 0 

             u = v