linalg.inv

Description

Compute the (multiplicative) inverse of a matrix.

Given a square matrix a, it returns the matrix ainv satisfying dot(a, ainv) = dot(ainv, a) = eye(a.shape[0]).

Mandatory Input Parameters

Parameter	Type	Description
a	array_like	Matrix to be inverted

Optional Input Parameters

None

Return Value

Type	Description
ndarray/matrix	The inverse of the matrix is returned.

Examples

>>> import numpy as np
>>> a = np.array([[1.,2.], [3.,4.]])
>>> a
array([[1., 2.],
       [3., 4.]])
>>> ainv = np.linalg.inv(a)
>>> ainv
array([[-2. ,  1. ],
       [ 1.5, -0.5]])
>>> 
>>> t = np.dot(a, ainv)
>>> t
array([[1.0000000e+00, 0.0000000e+00],
       [8.8817842e-16, 1.0000000e+00]])
>>> np.allclose(t, np.eye(2))
True
>>>

Parent topic: Linear Algebra Functions