奇异矩阵的逆

时间:2019-05-07 10:30:13

标签: python-3.x

如何将这个奇异矩阵求逆?我需要解决一个线性方程组,并尝试使用Moore-Penrose反演,但该解决方案还不够。因此,我正在寻找另一种求逆矩阵的方法。

m1 = [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0], [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0], [0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1], [0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1], [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0], [0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0], [1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0], [0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0], [0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]
A = np.matrix(m1)


[[0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0]
 [1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0]
 [0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0]
 [0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0]
 [0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 1 0]
 [1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0]
 [0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0]
 [0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1]
 [0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 0 0 0 1]
 [1 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1]
 [0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1]
 [0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1]
 [0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 1]
 [1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1]
 [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1]
 [0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0]
 [1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0]
 [0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 0 0 0]
 [0 1 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0]
 [0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 0 0 1 0 0]
 [1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0]
 [0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0]
 [0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0]
 [1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0]
 [0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0]
 [0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0]
 [1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]

0 个答案:

没有答案
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