Algorithm: Gauss-Jordan elimination of Matrices
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近期正在复习线性代数，发现利用高斯消元法来构造阶梯形矩阵具有较高的实用性。因此，自行编写了一段代码，具体实现方式如下：
采用Python语言：
# by sesiria 2019
# algorithm for Gaussian Elimination for square matrix.
import numpy as np
class MatrixIsSingular(Exception): pass
# assume the input is a square matrix with the dimension m x n
# return the echelon-form matrix of the input
# otherwise throw a 'MatrixIsSingular' exception.
def GaussianElimination(A):
B = np.array(A, dtype=np.float_) # Make B as a copy of A, since we're going to alter it's values.
# m = rows
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