Solve following system of equations of non-negative integers using methods

Tara Alvarado

Tara Alvarado

Answered question

2022-01-04

Solve following system of equations of non-negative integers using methods of Commutative Algebra
3σ1+2σ2+σ3+2σ4=10
4σ1+3σ2+σ3=12
2σ1+4σ2+2σ3+σ4=25

Answer & Explanation

Heather Fulton

Heather Fulton

Beginner2022-01-05Added 31 answers

We solve the system of non homogeneous equation. 3σ1+2σ2+σ3+2σ4=10
4σ1+3σ2+σ3=12
2σ1+4σ2+2σ3+σ4=25
It will be:
[321243102421][σ1σ2σ3σ4]=[102325]
[3212:104310:122421:25]
R2R22R3[3212:100532:302421:25]
R2R22R3[3212:100532:300841:151]
R35R3+8R3[3212:100532:300042:145]
ρ(A)=ρ(ArgA)
ρ(A)=3

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