问带python场F(2)上线性方程组的求解

EN

In [1]: import numpy as np

In [2]: import galois

In [3]: GF = galois.GF(2)

In [4]: A = GF.Random((4,4)); A
Out[4]: 
GF([[0, 1, 0, 0],
    [0, 0, 1, 1],
    [0, 0, 0, 1],
    [1, 1, 0, 0]], order=2)

In [5]: x_truth = GF([1,0,1,1]); x_truth
Out[5]: GF([1, 0, 1, 1], order=2)

In [6]: b = A @ x_truth; b
Out[6]: GF([0, 0, 1, 1], order=2)

# Solve Ax = b for x
In [7]: x = np.linalg.solve(A, b); x
Out[7]: GF([1, 0, 1, 1], order=2)

# Verify that x is x_truth
In [8]: np.array_equal(x, x_truth)
Out[8]: True