numpy.linalg.det#

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 ofa.

See also

slogdet

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

scipy.linalg.det

Similar function in SciPy.

Notes

Broadcasting rules apply, see thenumpy.linalg documentation fordetails.

The determinant is computed via LU factorization using the LAPACKroutinez/dgetrf.

Examples

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

>>>importnumpyasnp>>>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.])

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