連立一次方程式を解く

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ソースコード
下記のようなX1~Xnを求める(X1~Xn以外は定数)
a1X1+b1X2+c1X3+d1X4+e1X5=Y1
a2X1+b2X2+c2X3+d2X4+e2X5=Y2
a3X1+b3X2+c3X3+d3X4+e3X5=Y3
a4X1+b4X2+c4X3+d4X4+e4X5=Y4
a5X1+b5X2+c5X3+d5X4+e5X5=Y5
実行結果計算過程表示
a1 b1 c1 d1 e1 Y1
a2 b2 c2 d2 e2 Y2
a3 b3 c3 d3 e3 Y3
a4 b4 c4 d4 e4 Y4
a5 b5 c5 d5 e5 Y5
実行結果
(初期値)
66.696 45.159 78.447 88.05 28.386 46.275
8.157 53.736 42.252 91.614 53.889 9.693
44.103 29.349 82.302 8.865 80.778 35.808
39.288 17.778 4.503 70.143 74.508 46.764
28.35 87.996 60.147 33.105 56.946 95.613

66.696 45.159 78.447 88.05 28.386 46.275
44.103 29.349 82.302 8.865 80.778 35.808
39.288 17.778 4.503 70.143 74.508 46.764
28.35 87.996 60.147 33.105 56.946 95.613
8.157 53.736 42.252 91.614 53.889 9.693

66.696 45.159 78.447 88.05 28.386 46.275
0 -0.512572 30.4286 -49.3584 62.0076 5.20847
0 -8.36679 -68.8136 62.2458 2.54904 14.8654
0 75.1675 56.8977 -17.5098 3.18145 61.8684
0 28.4174 24.9462 82.0889 37.5042 -17.8172

66.696 45.159 78.447 88.05 28.386 46.275
0 75.1675 56.8977 -17.5098 3.18145 61.8684
0 28.4174 24.9462 82.0889 37.5042 -17.8172
0 -0.512572 30.4286 -49.3584 62.0076 5.20847
0 -8.36679 -68.8136 62.2458 2.54904 14.8654

66.696 45.159 78.447 88.05 28.386 46.275
0 75.1675 56.8977 -17.5098 3.18145 61.8684
0 0 3.43583 88.7085 36.3015 -41.2068
0 0 30.8786 -47.8778 62.6841 4.88709
0 0 -565.504 867.931 -1009.61 -70.1533

66.696 45.159 78.447 88.05 28.386 46.275
0 75.1675 56.8977 -17.5098 3.18145 61.8684
0 0 30.8786 -47.8778 62.6841 4.88709
0 0 3.43583 88.7085 36.3015 -41.2068
0 0 -565.504 867.931 -1009.61 -70.1533

66.696 45.159 78.447 88.05 28.386 46.275
0 75.1675 56.8977 -17.5098 3.18145 61.8684
0 0 30.8786 -47.8778 62.6841 4.88709
0 0 0 94.0358 29.3267 -41.7506
0 0 0 15468.5 4965.26 -6852.39

66.696 45.159 78.447 88.05 28.386 46.275
0 75.1675 56.8977 -17.5098 3.18145 61.8684
0 0 30.8786 -47.8778 62.6841 4.88709
0 0 0 15468.5 4965.26 -6852.39
0 0 0 94.0358 29.3267 -41.7506

66.696 45.159 78.447 88.05 28.386 46.275
0 75.1675 56.8977 -17.5098 3.18145 61.8684
0 0 30.8786 -47.8778 62.6841 4.88709
0 0 0 15468.5 4965.26 -6852.39
0 0 0 0 -0.858063 -0.0936163

X1=1.33351
X2=1.31597
X3=-0.804376
X4=-0.478011
X5=0.109102
46.275==46.275
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