Question

Qual a solução do sistema?

Answer 1

Explicação passo-a-passo:

2 -1 1

3 2 -4

1 -2 1

D = 2 . 2 . 1 + (-1) . (-4) . 1 + 1 . 3 . (-2) - (1 . 2 . 1 + (-2) . (-4) . 2 + 1 . 3 . (-1))

D = 4 + 4 - 6 - 2 - 16 + 3

D = -13

5 -1 1

0 2 -4

2 -2 1

Dx = 5 . 2 . 1 + (-1) . (-4) . 2 + 1 . 0 . (-2) - (2 . 2 . 1 + (-2) . (-4) . 5 + 1 . 0 . (-1))

Dx = 10 + 8 + 0 - 4 - 40 + 0

x = Dx/D

x = -26/(-13)

x = 2

2 5 1

3 0 -4

1 2 1

Dy = 2 . 0 . 1 + 5 . (-4) . 1 + 1 . 3 . 2 - (1 . 0 . 1 + 2 . (-4) . 2 + 1 . 3 . 5)

Dy = 0 - 20 + 6 + 0 + 16 - 15

Dz = + 6 + 16 - ( -20 -15 )

Dz = 22-35

Dz = -13

y = Dy/D

y = -13/(-13)

y = 1

2 -1 5

3 2 0

1 -2 2

Dz = 2 . 2 . 2 + (-1) . 0 . 1 + 5 . 3 . (-2) - (1 . 2 . 5 + (-2) . 0 . 2 + 2 . 3 . (-1))

Dz = 8 + 0 - 30 - 10 + 0 + 6

Dz = 8 + 6 - ( -30 -10 )

Dz = 14-40

Dz = -26

z = Dz/D

z = -26/(-13)

z = 2

S = {(2, 1, 2)}