{x1-2x2+3x3-2x4=-2

{2x1-x2-2x3-3x4=26

{2x1-3x2+2x3+x4=10

{3x1+2x2-x3+2x4=24

Bon cai o tren la cung mot he nhe ( ma tran )

Ta có ma trận hệ số:

Vậy ta có:

45x₄=-16=>x₄=-16/45

2X₃-x₄=-6=>2x₃=-6+x₄=-6-16/45=-382/45

=>x₃=-191/45

X₂-4x₃+5x₄=14=>x₂=14+4x₃-5x₄

=>x₂=14+4(-191/45)-5(-16/45)=-6/5

X₁-2x₂+3x₃-2x₄=-2

=>x₁=-2+2x₂-3x₃+2x₄=-2+2(-6/5)-3(-191/45)+2(-16/45)

=>x₁=343/45

Vậy ta có nghiệm:

(x₁,x₂,x₃,x₄)=(343/45,-6/5,-191/45,-16/45)