python中包含矩阵运算的第三方库

我需要使用python反转包含float的矩阵，但不使用第三方库(即numpy)。以这种方式求逆矩阵的计算量最小的方法是什么？在

我试图用余因子矩阵的转置乘以倒数行列式等于逆矩阵。不过，我确信递归方法花费的时间太长：def getMatrixMinor(m,i,j):

return [row[:j] + row[j+1:] for row in (m[:i]+m[i+1:])]

def getMatrixDeternminant(m):

if len(m) == 2:

return m[0][0]*m[1][1]-m[0][1]*m[1][0]

determinant = 0

for c in range(len(m)):

determinant += ((-1)**c)*m[0][c]*getMatrixDeternminant(getMatrixMinor(m,0,c))

return determinant

def getMatrixInverse(m):

determinant = getMatrixDeternminant(m)

if len(m) == 2:

return [[m[1][1]/determinant, -1*m[0][1]/determinant],

[-1*m[1][0]/determinant, m[0][0]/determinant]]

cofactors = []

for r in range(len(m)):

cofactorRow = []

for c in range(len(m)):

minor = getMatrixMinor(m,r,c)

cofactorRow.append(((-1)**(r+c)) * getMatrixDeternminant(minor))

cofactors.append(cofactorRow)

cofactors = transposeMatrix(cofactors)

for r in range(len(cofactors)):

for c in range(len(cofactors)):

cofactors[r][c] = cofactors[r][c]/determinant

return cofactors

如果格式有问题，请道歉。在