Question

a solução do sistema linear {x-y+z=9
{x-2z=4
{x+y-2z=2
As={(9,4,2})
B={(6,-2,1})
C={(1,3,5})
D={(0,4,5})

Answer 1

{x-y+z=9
{x-2z=4
{x+y-2z=2
{1. -1. 1}. 1. -1
{1. 0. -2} 1. 0
{1. 1. -2} 1. 1
∆=0+2+1-0+2-2
∆=+2+1
∆=3
[9. -1. 1]. 9. -1
[4. 0. -2] 4. 0
[2. 1. -2] 2. 1
∆x=0+4+4-0+18-8
∆x=4+4+18-8
∆x=18
[1. 9. 1]. 1. 9
[1. 4 -2] 1. 4
[1. 2 -2] 1. 2
∆y=-8-18+2-4+4+18
∆y=-8+2
∆y=-6
[1. -1. 9]. 1. -1
[1. 0. 4]. 1. 0
[1. 1. 2]. 1. 1
∆z=0-4+9-0-4+2
∆z=-8+11
∆z=3
∆x/∆=18/3=6
∆y/∆=-6/3=-2
∆z/∆=3/3=1
S={6, -2, 1}
Letra B