Question

dados os vetores u = (3,-1). e v = (-1,2), encontrar o vetor w tal que: 3w-(2v-u) = 2(4w-3u)

Answer 1

3w-(2v-u)=2(4w-3u)  

3 w - (2 (-1,2) - (3,-1) ) = 8 w - 6 ( 3, -1)

3 w - ( (-2, 4) - (3 , -1) = 8 w + ( -18 , 6)

3 w - 8 w - (- 5 , 5) = ( -18, 6)

- 5 w = ( - 18 , 6 ) + ( -5, 5)

- 5 w = ( -23 , 11)

w = (23/5 - 11/5)