numpy.linalg.det¶
-
numpy.linalg.
det
(a)[source]¶ 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.
See also
slogdet
Another way to represent the determinant, more suitable for large matrices where underflow/overflow may occur.
Notes
New in version 1.8.0.
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 # may vary
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.])