equation system returns Empty sym: 0-by-1

hi,

while solving a system of equations all the solutions appear as Empty sym: 0-by-1.

how do i solve this?

[Joao Mendes]

x0=0
x1=0.25
x2=0.5
x3=0.75
x4=1
x5=1.25
x6=1.5
x7=1.75
x8=2
x9=2.25
x10=2.5
x11=2.75
x12=3

y0=0.652
y1=0.217
y2=0.264
y3=0.0689
y4=-0.183
y5=0.209
y6=0.529
y7=0.689
y8=1.18
y9=1.48
y10=2.21
y11=3.09
y12=3.64


syms a b c d e f g h i j k l

eqn1 = a+b*x0+c*(x0^3)+d*(x0^4)+e*(x0^5)+f*(x0^6)+g*(x0^7)+h*(x0^8)+i*(x0^9)+j*(x0^10)+k*(x0^11)+l*(x0^12) == y0;
eqn2 = a+b*x1+c*(x1^3)+d*(x1^4)+e*(x1^5)+f*(x1^6)+g*(x1^7)+h*(x1^8)+i*(x1^9)+j*(x1^10)+k*(x1^11)+l*(x1^12) == y1;
eqn3 = a+b*x2+c*(x2^3)+d*(x2^4)+e*(x2^5)+f*(x2^6)+g*(x2^7)+h*(x2^8)+i*(x2^9)+j*(x2^10)+k*(x2^11)+l*(x2^12) == y2;
eqn4 = a+b*x3+c*(x3^3)+d*(x3^4)+e*(x3^5)+f*(x3^6)+g*(x3^7)+h*(x3^8)+i*(x3^9)+j*(x3^10)+k*(x3^11)+l*(x3^12) == y3;
eqn5 = a+b*x4+c*(x4^3)+d*(x4^4)+e*(x4^5)+f*(x4^6)+g*(x4^7)+h*(x4^8)+i*(x4^9)+j*(x4^10)+k*(x4^11)+l*(x4^12) == y4;
eqn6 = a+b*x5+c*(x5^3)+d*(x5^4)+e*(x5^5)+f*(x5^6)+g*(x5^7)+h*(x5^8)+i*(x5^9)+j*(x5^10)+k*(x5^11)+l*(x5^12) == y5;
eqn7 = a+b*x6+c*(x6^3)+d*(x6^4)+e*(x6^5)+f*(x6^6)+g*(x6^7)+h*(x6^8)+i*(x6^9)+j*(x6^10)+k*(x6^11)+l*(x6^12) == y6;
eqn8 = a+b*x7+c*(x7^3)+d*(x7^4)+e*(x7^5)+f*(x7^6)+g*(x7^7)+h*(x7^8)+i*(x7^9)+j*(x7^10)+k*(x7^11)+l*(x7^12) == y7;
eqn9 = a+b*x8+c*(x8^3)+d*(x8^4)+e*(x8^5)+f*(x8^6)+g*(x8^7)+h*(x8^8)+i*(x8^9)+j*(x8^10)+k*(x8^11)+l*(x8^12) == y8;
eqn10 = a+b*x9+c*(x9^3)+d*(x9^4)+e*(x9^5)+f*(x9^6)+g*(x9^7)+h*(x9^8)+i*(x9^9)+j*(x9^10)+k*(x9^11)+l*(x9^12) == y9;
eqn11 = a+b*x10+c*(x10^3)+d*(x10^4)+e*(x10^5)+f*(x10^6)+g*(x10^7)+h*(x10^8)+i*(x10^9)+j*(x10^10)+k*(x10^11)+l*(x10^12) == y10;
eqn12 = a+b*x11+c*(x11^3)+d*(x11^4)+e*(x11^5)+f*(x11^6)+g*(x11^7)+h*(x11^8)+i*(x11^9)+j*(x11^10)+k*(x11^11)+l*(x11^12) == y11;
eqn13 = a+b*x12+c*(x12^3)+d*(x12^4)+e*(x12^5)+f*(x12^6)+g*(x12^7)+h*(x12^8)+i*(x12^9)+j*(x12^10)+k*(x12^11)+l*(x12^12) == y12;

sol = solve([eqn1, eqn2, eqn3, eqn4, eqn5, eqn6, eqn7, eqn8, eqn9, eqn10, eqn11, eqn12, eqn13], [a, b, c, d, e, f, g, h, i, j, k, l]);
aSol = sol.a
bSol = sol.b
cSol = sol.c
dSol = sol.d
eSol = sol.e
fSol = sol.f
gSol = sol.g
hSol = sol.h
iSol = sol.i
jSol = sol.j
kSol = sol.k
lSol = sol.l

Answer 1

[Walter Roberson]

you have 13 linear equations in 12 variables. No solution would be expected.

You could be using \ to solve this if there were a solution.