maxframe.tensor.linalg.inv#

maxframe.tensor.linalg.inv(a, sparse=None)[source]#

Compute the (multiplicative) inverse of a matrix. Given a square matrix a, return the matrix ainv satisfying dot(a, ainv) = dot(ainv, a) = eye(a.shape[0]).

Parameters:

a ((..., M, M) array_like) – Matrix to be inverted.
sparse (bool, optional) – Return sparse value or not.

Returns:

ainv – (Multiplicative) inverse of the matrix a.

Return type:

(…, M, M) ndarray or matrix

Raises:

LinAlgError – If a is not square or inversion fails.

Examples

>>> import maxframe.tensor as mt
>>> a = np.array([[1., 2.], [3., 4.]])
>>> ainv = mt.linalg.inv(a)
>>> mt.allclose(mt.dot(a, ainv), mt.eye(2)).execute()
True

>>> mt.allclose(mt.dot(ainv, a), mt.eye(2)).execute()
True

>>> ainv.execute()
array([[ -2. ,  1. ],
       [ 1.5, -0.5]])