Question

x-y+z=0
2x-y-z=-3
x+y-2z=0
regra de cramer

Answer 1

Explicação passo-a-passo:

x-y+z=0

2x-y-z=-3

x+y-2z=0

Regra de Cramer :

(1 -1 1)(1 -1)

(2 -1 -1)(2 -1)

(1 1 -2)(1 1)

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

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

D=5-(+2)

D=5-2

D=3

(0 -1 1)(0 -1)

(-3 -1 -1)(-3 -1)

(0 1 -2)(0 1)

Dx=0+0-3-(0+0-6)

DX=-3 -(-6)

DX=-3+6

DX=3

(1 0 1)(1 0)

(2 -3 -1)(2 -3)

(1 0 -2)(1 0)

DY=6+0+0-(-3+0+0)

DY=6 -(-3)

DY=6+3

DY=9

(1 -1 0)(1 -1)

(2 -1 -3)(2 -1)

(1 1 0)(1 1)

DZ=0+3+0-(0-3+0)

DZ=3-(-3)

DZ=3+3

DZ=6

Encontrando os valores de x ,y e z :

X=Dx/D=3/3=1

Y=DY/D=9/3=3

Z=DZ/D=6/3=2

Resposta :

S={( 1 : 3 : 2)}