Solving an overdetermined linear system

2023 8 8
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更新时间：2023 8 8
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My code is like that and MATLAB gives me error of inconsistancy, how can i solve overdetermined linear system?
syms e0 e1 e2
T1=1;
T2=3;
T3=4;
T4=5;
T5=6;
TM1=8;
TM2=7;
TM3=6;
TM4=5;
TM5=4;
Eqns = [e0 + T1*TM1*e1 - T1*e2 == TM1
e0 + T2*TM2*e1 - T2*e2 == TM2
e0 + T3*TM3*e1 - T3*e2 == TM3
e0 + T4*TM4*e1 - T4*e2 == TM4
e0 + T5*TM5*e1 - T5*e2 == TM5];
[A,b] = equationsToMatrix(Eqns, [e0, e1, e2]);
x=linsolve(A,b);
x
OUTPUT:
Warning: Solution does not exist because the system is inconsistent.
x =
Inf
Inf
Inf

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 采纳的回答

Bruno Luong
Bruno Luong 2023-8-8
编辑：Bruno Luong 2023-8-8
Ran in:

0 个投票

Ran in:
least square solution
syms e0 e1 e2
T1=1;
T2=3;
T3=4;
T4=5;
T5=6;
TM1=8;
TM2=7;
TM3=6;
TM4=5;
TM5=4;
Eqns = [e0 + T1*TM1*e1 - T1*e2 == TM1
e0 + T2*TM2*e1 - T2*e2 == TM2
e0 + T3*TM3*e1 - T3*e2 == TM3
e0 + T4*TM4*e1 - T4*e2 == TM4
e0 + T5*TM5*e1 - T5*e2 == TM5];
[A,b] = equationsToMatrix(Eqns, [e0, e1, e2]);
x = (A'*A)\(A'*b)
x = 

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