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elgersma
Posts:
3
From:
Minnesota, USA
Registered:
11/26/12


Re: Solution to Linear system wanted
Posted:
Nov 28, 2012 5:53 PM


For an set of positive numbers, a1 a2 a3 a4 a5 a6 the set of equations:
a1*a a2*b a3*c a4*d a5*g a6*f = 1 a1*a +a2*b a3*c a4*d a5*g a6*f = 1 a1*a a2*b +a3*c a4*d a5*g a6*f = 1 a1*a a2*b a3*c +a4*d a5*g a6*f = 1 a1*a a2*b a3*c a4*d +a5*g a6*f = 1 a1*a a2*b a3*c a4*d a5*g +a6*f = 1
has unique negative solution:
a = 1/(4*a1) b = 1/(4*a2) c = 1/(4*a3) d = 1/(4*a4) g = 1/(4*a5) f = 1/(4*a6)
Since each of the equations becomes: 1/4 + 5/4 = 1
Your example had a1=6.2 a2=1.7 a3=4.7 a4=7.7 a5=18.9 a6=18.6



