How to Solve Multiple Groups of Ternary Linear Equations using for loop?

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feng zhao
feng zhao am 19 Apr. 2022
Kommentiert: feng zhao am 19 Apr. 2022
There is a three-variable linear equation system below, and its parameters have xt and yt. I want to substitute the first xt and all yt into this equation to get 501 sets of three-variable linear equations, and then find 501 solutions of A1, then Repeat this operation for other xt to get 501*501 A1 in total. What should I do?
format compact
warning off
x1=600;y1=0;z1=1200;
x2=800;y2=0;z2=-1200;
syms A1 E1 A2 E2 out
yt=500;zt=500;
fprintf('A1');
i=0;
yt=-1000:2:0;
for xt=-5000:10:0
i=i+1;
yt=-1000:2:0;
eq1=(x1-xt).*(tan(A1)-tan(A2))+((x1-x2).*tan(A2)-(z1-z2));
eq2=(y1-yt).*(tan(A1)-tan(A2))+((x1-x2).*tan(A2)-(z1-z2)).*(tan(E1).*sec(A1));
eq3=(z1-zt).*(tan((A1))-tan((A2)))+((x1-x2).*tan(A2)-(z1-z2)).*tan((A1));
A1s=solve([eq1,eq2,eq3],[A1,A2,E1]);
fprintf('the %dth A1 when x is %d\n',i);
A1s.A1
double(A1s.A1)
end
  2 Kommentare
John D'Errico
John D'Errico am 19 Apr. 2022
Um, they are NOT linear equations!!!!!
The unknowns in your solve are A1, A2, E1. You have products of variables. Only in your dreams are these linear equations.
feng zhao
feng zhao am 19 Apr. 2022
lol, well, i know this problem too, i'll try to replace this equation

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