numpy.linalg.det — NumPy v1.11 Manual (original) (raw)
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
Another way to representing 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
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.])