inv

inv(a)

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) ndarray

Matrix to be inverted.

Returns:

ainv : (…, M, M) ndarray

(Multiplicative) inverse of the matrix a.

Raises:

MXNetError

If a is not square or inversion fails.

Examples

>>> from mxnet import np
>>> a = np.array([[1., 2.], [3., 4.]])
array([[-2. ,  1. ],
       [ 1.5, -0.5]])

Inverses of several matrices can be computed at once:

>>> a = np.array([[[1., 2.], [3., 4.]], [[1, 3], [3, 5]]])
>>> np.linalg.inv(a)
array([[[-2.        ,  1.        ],
        [ 1.5       , -0.5       ]],

[[-1.2500001 , 0.75000006],

[ 0.75000006, -0.25000003]]])