Question

Alguem sabe fazer isso.
Dados os vetores u=(2,-1)e v= (-2,3), determinar o vetor x tal que : 2(3u-5v)+x=2u-3x.

Answer 1

2(3u-5v)+x=2u-3x.

x+3x=2u-2.(3u-5v)

4x=2.(2,-1)-2.(3.(2,-1)-5.(-2,3))

4x=(4,-2)-2.[(6,-3)-(-10,15)]

4x=(4,-2)-2.(16,-18)

4x=(4,-2)-(32,-36)

4x=(-28,34)

x=(-28/4 , 34/4)

x=(-7 , 17/4)