Matriz original (7x7 con términos independientes):
6 10 6 10 -7 6 -6 -4
-7 -3 6 -9 5 10 10 -10
-3 1 1 -8 -9 8 -9 6
10 -2 2 0 2 0 -10 -5
-8 3 -1 8 -3 5 4 -7
-9 -5 2 4 -2 0 -3 -1
5 -8 -6 -8 -2 3 -6 5
Matriz final después de la eliminación de Gauss:
10 -2 2 0 2 0 -10 -5
0 11.2 4.8 10 -8.2 6 0 -1
0 0 9.285714285714286 -5.071428571428571 3.178571428571429 12.357142857142858 3 -13.892857142857142
0 0 0 13.73846153846154 -7.476923076923077 -5.292307692307692 -14.169230769230769 3.938461538461537
0 0 0 0 -12.71976483762598 2.9658454647256445 -20.276035834266516 8.84518477043673
0 8.881784197001252E-16 0 0 4.440892098500626E-16 8.482865632221854 10.416837240013205 -4.168620006602838
0 0 0 0 0 0 -11.652915398566236 -6.77198711013209
La solución del sistema es:
x1 = 0.3365242565830708
x2 = -0.38994306713824967
x3 = 0.23588117352499516
x4 = -0.6137042986871154
x5 = -1.9027404366930845
x6 = -1.2050493124972865
x7 = 0.5811410173771029