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Topic: Solution to Linear system wanted
Replies: 3   Last Post: Nov 28, 2012 5:53 PM

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Posts: 3
From: Minnesota, USA
Registered: 11/26/12
Re: Solution to Linear system wanted
Posted: Nov 28, 2012 5:53 PM
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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

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