Resposta:
ALTERNATIVA B
Explicação passo-a-passo:
x – 3y + 2z = 14
2x+5y-z = -9
-3x – y +2z = 2
A (-2, 2, 3) B (2, -2, 3) C (3, -2, 2) D (1, -3, -2) E (-2, -3, 1)
Resolver por determinantes
x – 3y + 2z = 14
2x + 5y - z = -9
-3x – y + 2z = 2
x = Dx/D y = Dy/D z = Dz/D
D = [tex]\left[\begin{array}{ccc}1&-3&2\\2&5&-1\\-3&-1&2\end{array}\right][/tex] = 38
Dx = [tex]\left[\begin{array}{ccc}14&-3&2\\-9&5&-1\\2&-1&2\end{array}\right][/tex] = 76
Dy = [tex]\left[\begin{array}{ccc}1&14&2\\2&-9&-1\\-3&2&2\end{array}\right][/tex] = - 76
Dz = [tex]\left[\begin{array}{ccc}1&-3&14\\2&5&-9\\-3&-1&2\end{array}\right][/tex] = 114
x = 76/38 = 2
y = - 76/38 = - 2
z = 114/38 = 3
