May-04-2019, 10:12 AM
How one can invert this singular 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]] A = np.matrix(m1)
Output:[[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]]