# How to get rid of zeros in a matrix?

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Pipe on 21 Oct 2022
Answered: Walter Roberson on 21 Oct 2022
If you run the code you'll notice that aSol is a 4x1 but two of the numbers are zeros and the other two are the same, how can I remove the zeros and make asol equals to a 1x1 number since two of the numbers are the same. Also, is there any way to make a loop to get the values of sol saved separately so i do not have to write asol=sol.a bsol=sol.b ....
k1 = 0.3;
k2 = 0.3;
k3 = 0.4;
k4 = 0.05;
k5 = 0.77;
k6 = 1.373;
k7 = 0.48;
k8 = 0.0017;
k9 = 0.094;
k10 = 3.76;
syms a b c d e f g h i j k m n l s t v w x
eqn1 = k1*w==a;
eqn2 = k2*k==b;
eqn3 = k3*m==c;
eqn4 = k4*n*w==d;
eqn5 = k5*l==e;
eqn6 = k6*s==f;
eqn7 = k7*t*s==g;
eqn8 = k8*v==h;
eqn9 = k9*v==i;
eqn10 = k10*x==j;
eqn11 = a-b==k;
eqn12 = b-c==m;
eqn13 = c-d==n;
eqn14 = d-e==l;
eqn15 = e-g-f==s;
eqn16 = f-g==t;
eqn17 = g-h-i==v;
eqn18 = -a-d+j==w;
eqn19 = a+d-j==x;
sol = solve([eqn1, eqn2, eqn3,eqn4,eqn5,eqn6,eqn7,eqn8,eqn9,eqn10,eqn11,eqn12,eqn13,eqn14,eqn15,eqn16,eqn17,eqn18,eqn19], [a,b,c,d,e,f,g,h,i,j,k,m,n,l,s,t,v,w,x]);
aSol = sol.a
bSol = sol.b
cSol = sol.c
Hiro Yoshino on 21 Oct 2022
Can you make the question a bit simpler?

Walter Roberson on 21 Oct 2022
k1 = 0.3;
k2 = 0.3;
k3 = 0.4;
k4 = 0.05;
k5 = 0.77;
k6 = 1.373;
k7 = 0.48;
k8 = 0.0017;
k9 = 0.094;
k10 = 3.76;
syms a b c d e f g h i j k m n l s t v w x
assume(a ~= 0)
eqn1 = k1*w==a;
eqn2 = k2*k==b;
eqn3 = k3*m==c;
eqn4 = k4*n*w==d;
eqn5 = k5*l==e;
eqn6 = k6*s==f;
eqn7 = k7*t*s==g;
eqn8 = k8*v==h;
eqn9 = k9*v==i;
eqn10 = k10*x==j;
eqn11 = a-b==k;
eqn12 = b-c==m;
eqn13 = c-d==n;
eqn14 = d-e==l;
eqn15 = e-g-f==s;
eqn16 = f-g==t;
eqn17 = g-h-i==v;
eqn18 = -a-d+j==w;
eqn19 = a+d-j==x;
sol = solve([eqn1, eqn2, eqn3,eqn4,eqn5,eqn6,eqn7,eqn8,eqn9,eqn10,eqn11,eqn12,eqn13,eqn14,eqn15,eqn16,eqn17,eqn18,eqn19], [a,b,c,d,e,f,g,h,i,j,k,m,n,l,s,t,v,w,x]);
solabc = unique(subs([a, b, c], sol), 'rows')
solabc = EXPAND = @(C) C{:};
[aSol, bSol, cSol] = EXPAND(num2cell(solabc))
aSol = bSol = cSol = ### Categories

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