numpy.linalg.det

numpy.linalg.det(a)[源代码]

Compute the determinant of an array.

Parameters:
a : (…, M, M) array_like

Input array to compute determinants for.

Returns:
det : (…) array_like

Determinant of a.

参见

slogdet
Another way to represent the determinant, more suitable for large matrices where underflow/overflow may occur.

Notes

1.8.0 新版功能.

Broadcasting rules apply, see the numpy.linalg documentation for details.

The determinant is computed via LU factorization using the LAPACK routine z/dgetrf.

Examples

The determinant of a 2-D array [[a, b], [c, d]] is ad - bc:

>>> a = np.array([[1, 2], [3, 4]])
>>> np.linalg.det(a)
-2.0

Computing determinants for a stack of matrices:

>>> a = np.array([ [[1, 2], [3, 4]], [[1, 2], [2, 1]], [[1, 3], [3, 1]] ])
>>> a.shape
(3, 2, 2)
>>> np.linalg.det(a)
array([-2., -3., -8.])