import numpy as np

A1 = np.array([
    [  4, -2,  6 ],
    [ -2,  5, -1 ],
    [  6, -1, 26 ]])
b1 = np.array([ 18., 5., 82. ])
# Loesung: x[0]=1, x[1]=2, x[2]=3

A2 = np.array([
    [ 1,  2,  3,  4 ],
    [ 2,  5,  8, 11 ],
    [ 3,  8, 14, 20 ],
    [ 4, 11, 20, 30 ]])
b2 = np.array([ 20., 50., 84., 119. ])
# Loesung: x[0]=4, x[1]=3, x[2]=2, x[3]=1


A3 = np.array([
    [ 14.00,   2.00,   1.00,   0.00,   5.00,   5.00 ],
    [  2.00,  21.00,   2.00,  -1.00,  -7.00,  -8.00 ],
    [  1.00,   2.00,  18.00,   4.00,   7.00,   3.00 ],
    [  0.00,  -1.00,   4.00,  17.00,  -4.00,   7.00 ],
    [  5.00,  -7.00,   7.00,  -4.00,  27.00,   3.00 ],
    [  5.00,  -8.00,   3.00,   7.00,   3.00,  27.00 ]])
b3 = np.array([ 27., 9., 35., 23., 31., 37. ])
# Loesung: x[0]=x[1]=x[2]=x[3]=x[4]=x[5]=1