Question

dados os vetores U = (3, -1) e V = (-1,2) determine o vetor w tal que
4(u-v)+w = u -2w

Answer 1

4(u-v) + w = u - 2w
4u - 4v + w = u - 2w
4u - u - 4v = -2w - w
3u - 4v = -3w
3(3,-1) - 4(-1,2) = -3w
(9,-3) - (-4,8) = -3w
(13,-11) = -3w
(-13/3, 11/3) = w