Respostas
Regra de Cramer:
D =
[1 2 - 1 1 2]
[2 - 1 3 2 - 1]
[3 3 - 2 3 3]
D = 1.(-1).(-2) - 2.3.3 - 1.2.3 - [(-1).(-1).3 + 1.3.3 + 2.2.(-2)]
D = 2 - 18 - 6 - [3 + 9 - 8]
D = - 22 - (4)
D = - 26
Dx =
[2 2 - 1 2 2]
[9 - 1 3 9 - 1]
[3 3 - 2 3 3]
DX = 2.(-1).(-2) + 2.3.3 - 1.9.3 - [(-1).(-1).3 + 2.3.3 + 2.9.(-2)]
Dx = 4 + 18 - 27 - [3 + 18 - 36]
DX = - 5 - (-15)
DX = - 5 + 15
DX = 10
X = DX / d
X = 10/(-26)
x = - 10/26 (:2)/(:2)
X = - 5/13
Dy =
[1 2 - 1 1 2]
[2 9 3 2 9]
[3 3 - 2 3 3]
Dy = 1.9.(-2) + 2.3.3 - 1.2.3 - [ -1.9.3 + 1.3.3 + 2.2.(-2)]
Dy = - 18 + 18 - 6 - [-27 + 9 - 8]
Dy = - 6 - (-26)
Dy = - 6 + 26
Dy = 20
Y = dy/d
Y =20/(-26)
Y = - 20/26 (:2)/(:2)
Y = - 10/13
Dz =
[1 2 2 1 2]
[2 - 1 9 2 - 1]
[3 3 3 3 3]
Dz = 1.(-1).3 + 2.9.3 + 2.2.3 - [2.(-1).3 + 1.9.3 + 2.2.3]
Dz = - 3 + 54 + 12 - (-6 + 27 + 12)
Dz = 63 - (33)
Dz = 63 - 33
Dz = 30
Z = dz/d
Z = 30/(-26)
Z = - 30/26 (:2)/(:2)
Z = - 15/13