Question

1.1. Determine o vetor w na igualdade 5w+3u = 2v+w , dados
u= (2,3,–1) e =v (–1,5,2).

Res.: (–2,1/4,7/4)

Answer 1

$5w+3u = 2v+w \\ 5w-w = 2v-3u\\4w=2v-3u\\w=\frac{2v-3u}{4}\\w=\frac{2(-1, 5, 2)-3(2, 3, -1)}{4}\\w=\frac{(-2, 10, 4)-(6, 9, -3)}{4}\\w=\frac{(-8,1,7)}{4}\\w=(2,\frac{1}{4},\frac{7}{4})$