Description
Regla de Cramer 3x3
2x +y -z = 1 3x -2y +z = 2 -4x +3y -2z =-4
1. Calcular el determinante lAl 2 1 -1 3 -2 1
=( +8 -9 -4 )-(-8+6-6 ) = -5+8 = 3
-4 3 -2 2 1 -1 3 -2 1
El determinante es lAl =3
2. Calcular el determinante de x, y, z 3. Determinante x
∆x= 1 1 -1 2 -2 1 -4 3 -2 1 1 -1 2 -2 1 X=3/3=1 X=1
=( +4 -6 -4 )-(-8+3-4 ) = -6+9 = 3
4. Calcular determinante de y
∆y= 2 1 -1 3 2 1
=( +8 +12 -4 )-(+8-8-6) = +6
-4 -4 -2 2 1 -1 3 2 1 y=6/3=2 y=2
5. Calcular determinante de z
∆z= 2 1 1 3 -2 2 -4 3 -4 2 1 1 3 -2 2 z=9/3=3 z=3
x=1, y=2, z=3
=( +16+9-8 )-(+8+12-12 ) = 17-8 = 9
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