numpy.linalg.det

numpy.linalg.det(a)

Compute the determinant of an array.

Parameters :

a : array_like, shape (M, M)

Input array.

Returns :

det : ndarray

Determinant of a.

See also

slogdet

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

Notes

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